95436964961 has 24 divisors (see below), whose sum is σ = 105111078840. Its totient is φ = 86599958016.

The previous prime is 95436964919. The next prime is 95436965017. The reversal of 95436964961 is 16946963459.

It can be written as a sum of positive squares in 12 ways, for example, as 13769614336 + 81667350625 = 117344^2 + 285775^2 .

It is not a de Polignac number, because 95436964961 - 2⁶ = 95436964897 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 95436964894 and 95436964903.

It is not an unprimeable number, because it can be changed into a prime (95436964361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2583755 + ... + 2620431.

It is an arithmetic number, because the mean of its divisors is an integer number (4379628285).

Almost surely, 2^95436964961 is an apocalyptic number.

It is an amenable number.

95436964961 is a deficient number, since it is larger than the sum of its proper divisors (9674113879).

95436964961 is a wasteful number, since it uses less digits than its factorization.

95436964961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36965 (or 36952 counting only the distinct ones).

The product of its digits is 37791360, while the sum is 62.

The spelling of 95436964961 in words is "ninety-five billion, four hundred thirty-six million, nine hundred sixty-four thousand, nine hundred sixty-one".