117957604755456 has 576 divisors, whose sum is σ = 362403809127360. Its totient is φ = 38310652477440.

The previous prime is 117957604755391. The next prime is 117957604755467. The reversal of 117957604755456 is 654557406759711.

117957604755456 is a `hidden beast` number, since 1 + 1 + 7 + 9 + 5 + 7 + 6 + 0 + 4 + 75 + 545 + 6 = 666.

117957604755456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9009204846 + ... + 9009217938.

It is an arithmetic number, because the mean of its divisors is an integer number (629173279735).

Almost surely, 2^{117957604755456} is an apocalyptic number.

117957604755456 is a gapful number since it is divisible by the number (16) 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 117957604755456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181201904563680).

117957604755456 is an abundant number, since it is smaller than the sum of its proper divisors (244446204371904).

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

117957604755456 is an equidigital number, since it uses as much as digits as its factorization.

117957604755456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13594 (or 13562 counting only the distinct ones).

The product of its (nonzero) digits is 1111320000, while the sum is 72.

The spelling of 117957604755456 in words is "one hundred seventeen trillion, nine hundred fifty-seven billion, six hundred four million, seven hundred fifty-five thousand, four hundred fifty-six".