46647644140400 has 120 divisors (see below), whose sum is σ = 113699065677984. Its totient is φ = 18388219494400.

The previous prime is 46647644140397. The next prime is 46647644140403. The reversal of 46647644140400 is 404144674664.

It is an interprime number because it is at equal distance from previous prime (46647644140397) and next prime (46647644140403).

It is a super-3 number, since 3×46647644140400³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46647644140403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64877264 + ... + 65592336.

Almost surely, 2^{46647644140400} is an apocalyptic number.

46647644140400 is a gapful number since it is divisible by the number (40) 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 46647644140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56849532838992).

46647644140400 is an abundant number, since it is smaller than the sum of its proper divisors (67051421537584).

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

46647644140400 is a wasteful number, since it uses less digits than its factorization.

46647644140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717459 (or 717448 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 50.

The spelling of 46647644140400 in words is "forty-six trillion, six hundred forty-seven billion, six hundred forty-four million, one hundred forty thousand, four hundred".