117531037584 has 225 divisors, whose sum is σ = 347279309377. Its totient is φ = 38374795008.

The previous prime is 117531037567. The next prime is 117531037601. The reversal of 117531037584 is 485730135711.

The square root of 117531037584 is 342828.

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

117531037584 is a `hidden beast` number, since 1 + 1 + 7 + 5 + 31 + 0 + 37 + 584 = 666.

It is an interprime number because it is at equal distance from previous prime (117531037567) and next prime (117531037601).

It can be written as a sum of positive squares in only one way, i.e., 22568451984 + 94962585600 = 150228^2 + 308160^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1098420859 + ... + 1098420965.

Almost surely, 2^117531037584 is an apocalyptic number.

117531037584 is the 342828-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117531037584

117531037584 is an abundant number, since it is smaller than the sum of its proper divisors (229748271793).

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

117531037584 is an frugal number, since it uses more digits than its factorization.

117531037584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 117531037584 in words is "one hundred seventeen billion, five hundred thirty-one million, thirty-seven thousand, five hundred eighty-four".