117548790976512 has 1248 divisors, whose sum is σ = 427916502374400. Its totient is φ = 31706770636800.

The previous prime is 117548790976511. The next prime is 117548790976541. The reversal of 117548790976512 is 215679097845711.

117548790976512 is a `hidden beast` number, since 1 + 1 + 7 + 5 + 487 + 9 + 0 + 97 + 6 + 51 + 2 = 666.

It is a super-2 number, since 2×117548790976512² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (117548790976511) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 32020916437 + ... + 32020920107.

It is an arithmetic number, because the mean of its divisors is an integer number (342881812800).

Almost surely, 2^{117548790976512} is an apocalyptic number.

117548790976512 is a gapful number since it is divisible by the number (12) 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 117548790976512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213958251187200).

117548790976512 is an abundant number, since it is smaller than the sum of its proper divisors (310367711397888).

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

117548790976512 is a wasteful number, since it uses less digits than its factorization.

117548790976512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4048 (or 4013 counting only the distinct ones).

The product of its (nonzero) digits is 266716800, while the sum is 72.

The spelling of 117548790976512 in words is "one hundred seventeen trillion, five hundred forty-eight billion, seven hundred ninety million, nine hundred seventy-six thousand, five hundred twelve".