115477707310641 has 72 divisors (see below), whose sum is σ = 184144742341560. Its totient is φ = 69320683376640.

The previous prime is 115477707310529. The next prime is 115477707310781. The reversal of 115477707310641 is 146013707774511.

It is a happy number.

115477707310641 is a `hidden beast` number, since 1 + 1 + 547 + 7 + 7 + 0 + 7 + 31 + 0 + 64 + 1 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 102380075836416 + 13097631474225 = 10118304^2 + 3619065^2 .

It is not a de Polignac number, because 115477707310641 - 2⁷ = 115477707310513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (115477707312641) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1645954735 + ... + 1646024891.

It is an arithmetic number, because the mean of its divisors is an integer number (2557565865855).

Almost surely, 2^{115477707310641} is an apocalyptic number.

It is an amenable number.

115477707310641 is a deficient number, since it is larger than the sum of its proper divisors (68667035030919).

115477707310641 is a wasteful number, since it uses less digits than its factorization.

115477707310641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78627 (or 78583 counting only the distinct ones).

The product of its (nonzero) digits is 3457440, while the sum is 54.

The spelling of 115477707310641 in words is "one hundred fifteen trillion, four hundred seventy-seven billion, seven hundred seven million, three hundred ten thousand, six hundred forty-one".