117504258768 has 960 divisors, whose sum is σ = 418258944000. Its totient is φ = 31384184832.

The previous prime is 117504258727. The next prime is 117504258793. The reversal of 117504258768 is 867852405711.

117504258768 is a `hidden beast` number, since 1 + 1 + 7 + 50 + 4 + 2 + 587 + 6 + 8 = 666.

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, 925230321 + ... + 925230447.

It is an arithmetic number, because the mean of its divisors is an integer number (435686400).

Almost surely, 2^117504258768 is an apocalyptic number.

117504258768 is a gapful number since it is divisible by the number (18) 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 117504258768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209129472000).

117504258768 is an abundant number, since it is smaller than the sum of its proper divisors (300754685232).

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

117504258768 is a wasteful number, since it uses less digits than its factorization.

117504258768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 3763200, while the sum is 54.

The spelling of 117504258768 in words is "one hundred seventeen billion, five hundred four million, two hundred fifty-eight thousand, seven hundred sixty-eight".