117456854360400 has 960 divisors, whose sum is σ = 443995565322240. Its totient is φ = 29430177638400.

The previous prime is 117456854360357. The next prime is 117456854360413. The reversal of 117456854360400 is 4063458654711.

117456854360400 is a `hidden beast` number, since 1 + 1 + 7 + 4 + 56 + 8 + 543 + 6 + 0 + 40 + 0 = 666.

It is a super-2 number, since 2×117456854360400² (a number of 29 digits) contains 22 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 an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4885270779 + ... + 4885294821.

It is an arithmetic number, because the mean of its divisors is an integer number (462495380544).

Almost surely, 2^{117456854360400} is an apocalyptic number.

117456854360400 is a gapful number since it is divisible by the number (10) 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 117456854360400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221997782661120).

117456854360400 is an abundant number, since it is smaller than the sum of its proper divisors (326538710961840).

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

117456854360400 is a wasteful number, since it uses less digits than its factorization.

117456854360400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24441 (or 24424 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 117456854360400 in words is "one hundred seventeen trillion, four hundred fifty-six billion, eight hundred fifty-four million, three hundred sixty thousand, four hundred".