117758012004864 has 3840 divisors, whose sum is σ = 477292011356160. Its totient is φ = 28326238617600.

The previous prime is 117758012004851. The next prime is 117758012004881. The reversal of 117758012004864 is 468400210857711.

It is a happy number.

117758012004864 is a `hidden beast` number, since 1 + 1 + 7 + 7 + 580 + 12 + 0 + 0 + 48 + 6 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 117758012004864.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1042106300872 + ... + 1042106300984.

It is an arithmetic number, because the mean of its divisors is an integer number (124294794624).

Almost surely, 2^{117758012004864} is an apocalyptic number.

117758012004864 is a gapful number since it is divisible by the number (14) 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 117758012004864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238646005678080).

117758012004864 is an abundant number, since it is smaller than the sum of its proper divisors (359533999351296).

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

117758012004864 is an equidigital number, since it uses as much as digits as its factorization.

117758012004864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 117758012004864 in words is "one hundred seventeen trillion, seven hundred fifty-eight billion, twelve million, four thousand, eight hundred sixty-four".