117611313765625 has 63 divisors (see below), whose sum is σ = 148655294902713. Its totient is φ = 93049027500000.

The previous prime is 117611313765623. The next prime is 117611313765643. The reversal of 117611313765625 is 526567313116711.

The square root of 117611313765625 is 10844875.

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

It can be written as a sum of positive squares in 10 ways, for example, as 114612376484089 + 2998937281536 = 10705717^2 + 1731744^2 .

It is not a de Polignac number, because 117611313765625 - 2¹ = 117611313765623 is a prime.

It is a super-2 number, since 2×117611313765625² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (117611313765623) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 136916546446 + ... + 136916547304.

Almost surely, 2^{117611313765625} is an apocalyptic number.

117611313765625 is the 10844875-th square number.

117611313765625 is the 5422438-th centered octagonal number.

It is an amenable number.

117611313765625 is a deficient number, since it is larger than the sum of its proper divisors (31043981137088).

117611313765625 is an frugal number, since it uses more digits than its factorization.

117611313765625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 965 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 55.

The spelling of 117611313765625 in words is "one hundred seventeen trillion, six hundred eleven billion, three hundred thirteen million, seven hundred sixty-five thousand, six hundred twenty-five".