46685346624 has 378 divisors, whose sum is σ = 161712527730. Its totient is φ = 13332791808.

The previous prime is 46685346623. The next prime is 46685346629. The reversal of 46685346624 is 42664358664.

46685346624 is a `hidden beast` number, since 4 + 6 + 6 + 8 + 5 + 3 + 4 + 6 + 624 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28167580224 + 18517766400 = 167832^2 + 136080^2 .

It is a tau number, because it is divible by the number of its divisors (378).

It is a super-3 number, since 3×46685346624³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46685346623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 20574162 + ... + 20576430.

Almost surely, 2^46685346624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46685346624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80856263865).

46685346624 is an abundant number, since it is smaller than the sum of its proper divisors (115027181106).

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

46685346624 is an frugal number, since it uses more digits than its factorization.

46685346624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2281 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 54.

The spelling of 46685346624 in words is "forty-six billion, six hundred eighty-five million, three hundred forty-six thousand, six hundred twenty-four".