117955260639841 has 27 divisors (see below), whose sum is σ = 122943403347723. Its totient is φ = 113166975104640.

The previous prime is 117955260639803. The next prime is 117955260639893. The reversal of 117955260639841 is 148936062559711.

The square root of 117955260639841 is 10860721.

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

It can be written as a sum of positive squares in 13 ways, for example, as 60923160798241 + 57032099841600 = 7805329^2 + 7551960^2 .

It is not a de Polignac number, because 117955260639841 - 2¹¹ = 117955260637793 is a prime.

It is a super-2 number, since 2×117955260639841² (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 (117955260639341) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29334805411 + ... + 29334809431.

It is an arithmetic number, because the mean of its divisors is an integer number (4553459383249).

It is a 1-persistent number, because it is pandigital, but 2⋅117955260639841 = 235910521279682 is not.

Almost surely, 2^{117955260639841} is an apocalyptic number.

117955260639841 is the 10860721-st square number.

117955260639841 is the 5430361-st centered octagonal number.

It is an amenable number.

117955260639841 is a deficient number, since it is larger than the sum of its proper divisors (4988142707882).

117955260639841 is an frugal number, since it uses more digits than its factorization.

117955260639841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8262 (or 4131 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 67.

The spelling of 117955260639841 in words is "one hundred seventeen trillion, nine hundred fifty-five billion, two hundred sixty million, six hundred thirty-nine thousand, eight hundred forty-one".