117284331024 has 405 divisors, whose sum is σ = 399130795791. Its totient is φ = 33287889600.

The previous prime is 117284330993. The next prime is 117284331103. The reversal of 117284331024 is 420133482711.

The square root of 117284331024 is 342468.

It is a perfect power (a square), and thus also a powerful number.

117284331024 is a `hidden beast` number, since 117 + 2 + 8 + 433 + 102 + 4 = 666.

It is a super-2 number, since 2×117284331024² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 117284331024.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 776717349 + ... + 776717499.

Almost surely, 2^117284331024 is an apocalyptic number.

117284331024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

117284331024 is the 342468-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117284331024

117284331024 is an abundant number, since it is smaller than the sum of its proper divisors (281846464767).

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

117284331024 is an frugal number, since it uses more digits than its factorization.

117284331024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Multiplying 117284331024 by its sum of digits (36), we get a square (4222235916864 = 2054808²).

117284331024 divided by its sum of digits (36) gives a square (3257898084 = 57078²).

The spelling of 117284331024 in words is "one hundred seventeen billion, two hundred eighty-four million, three hundred thirty-one thousand, twenty-four".