115477707312641 has 2 divisors, whose sum is σ = 115477707312642. Its totient is φ = 115477707312640.

The previous prime is 115477707312631. The next prime is 115477707312719. The reversal of 115477707312641 is 146213707774511.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85957393085041 + 29520314227600 = 9271321^2 + 5433260^2 .

It is a cyclic number.

It is not a de Polignac number, because 115477707312641 - 2²⁶ = 115477640203777 is a prime.

It is a super-2 number, since 2×115477707312641² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (115477707312631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57738853656320 + 57738853656321.

It is an arithmetic number, because the mean of its divisors is an integer number (57738853656321).

Almost surely, 2^{115477707312641} is an apocalyptic number.

It is an amenable number.

115477707312641 is a deficient number, since it is larger than the sum of its proper divisors (1).

115477707312641 is an equidigital number, since it uses as much as digits as its factorization.

115477707312641 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6914880, while the sum is 56.

The spelling of 115477707312641 in words is "one hundred fifteen trillion, four hundred seventy-seven billion, seven hundred seven million, three hundred twelve thousand, six hundred forty-one".