117403552725264 has 135 divisors (see below), whose sum is σ = 355790568296943. Its totient is φ = 36123649975296.

The previous prime is 117403552725247. The next prime is 117403552725281. The reversal of 117403552725264 is 462527255304711.

The square root of 117403552725264 is 10835292.

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

117403552725264 is a `hidden beast` number, since 1 + 1 + 7 + 4 + 0 + 3 + 5 + 527 + 2 + 52 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (117403552725247) and next prime (117403552725281).

It can be written as a sum of positive squares in 4 ways, for example, as 63395163803664 + 54008388921600 = 7962108^2 + 7349040^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 117403552725264.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1690270824 + ... + 1690340280.

Almost surely, 2^{117403552725264} is an apocalyptic number.

117403552725264 is the 10835292-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117403552725264

117403552725264 is an abundant number, since it is smaller than the sum of its proper divisors (238387015571679).

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

117403552725264 is an frugal number, since it uses more digits than its factorization.

117403552725264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138954 (or 69475 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 54.

The spelling of 117403552725264 in words is "one hundred seventeen trillion, four hundred three billion, five hundred fifty-two million, seven hundred twenty-five thousand, two hundred sixty-four".