46398459216312 has 384 divisors, whose sum is σ = 155657425996800. Its totient is φ = 12667610124288.

The previous prime is 46398459216281. The next prime is 46398459216313. The reversal of 46398459216312 is 21361295489364.

It is a happy number.

46398459216312 is a `hidden beast` number, since 4 + 6 + 3 + 9 + 8 + 4 + 592 + 1 + 6 + 31 + 2 = 666.

46398459216312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×46398459216312³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 46398459216312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46398459216313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37673253 + ... + 38885355.

It is an arithmetic number, because the mean of its divisors is an integer number (405357880200).

Almost surely, 2^{46398459216312} is an apocalyptic number.

46398459216312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46398459216312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77828712998400).

46398459216312 is an abundant number, since it is smaller than the sum of its proper divisors (109258966780488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46398459216312 is a wasteful number, since it uses less digits than its factorization.

46398459216312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212257 (or 1212241 counting only the distinct ones).

The product of its digits is 67184640, while the sum is 63.

The spelling of 46398459216312 in words is "forty-six trillion, three hundred ninety-eight billion, four hundred fifty-nine million, two hundred sixteen thousand, three hundred twelve".