117043462656000 has 1248 divisors, whose sum is σ = 457151207280768. Its totient is φ = 28691634585600.

The previous prime is 117043462655923. The next prime is 117043462656061. The reversal of 117043462656000 is 656264340711.

117043462656000 is a `hidden beast` number, since 1 + 1 + 7 + 0 + 4 + 34 + 6 + 2 + 6 + 5 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3368430627 + ... + 3368465373.

It is an arithmetic number, because the mean of its divisors is an integer number (366307057116).

Almost surely, 2^{117043462656000} is an apocalyptic number.

117043462656000 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 117043462656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228575603640384).

117043462656000 is an abundant number, since it is smaller than the sum of its proper divisors (340107744624768).

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

117043462656000 is a wasteful number, since it uses less digits than its factorization.

117043462656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34852 (or 34817 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 117043462656000 in words is "one hundred seventeen trillion, forty-three billion, four hundred sixty-two million, six hundred fifty-six thousand".