117928405924992 has 384 divisors, whose sum is σ = 366189157152000. Its totient is φ = 36212867776512.

The previous prime is 117928405924969. The next prime is 117928405924999. The reversal of 117928405924992 is 299429504829711.

117928405924992 is a `hidden beast` number, since 1 + 1 + 7 + 9 + 2 + 8 + 40 + 5 + 92 + 499 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×117928405924992² (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 a self number, because there is not a number n which added to its sum of digits gives 117928405924992.

It is not an unprimeable number, because it can be changed into a prime (117928405924999) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20196675609 + ... + 20196681447.

It is an arithmetic number, because the mean of its divisors is an integer number (953617596750).

Almost surely, 2^{117928405924992} is an apocalyptic number.

117928405924992 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 117928405924992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183094578576000).

117928405924992 is an abundant number, since it is smaller than the sum of its proper divisors (248260751227008).

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

117928405924992 is a wasteful number, since it uses less digits than its factorization.

117928405924992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8348 (or 8333 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 117928405924992 in words is "one hundred seventeen trillion, nine hundred twenty-eight billion, four hundred five million, nine hundred twenty-four thousand, nine hundred ninety-two".