95654736961 has 81 divisors (see below), whose sum is σ = 124668108201. Its totient is φ = 73158564864.

The previous prime is 95654736959. The next prime is 95654736967. The reversal of 95654736961 is 16963745659.

The square root of 95654736961 is 309281.

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

It can be written as a sum of positive squares in 4 ways, for example, as 11670696961 + 83984040000 = 108031^2 + 289800^2 .

It is not a de Polignac number, because 95654736961 - 2¹ = 95654736959 is a prime.

Its product of digits (36741600) is a multiple of the sum of its prime divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 95654736961.

It is not an unprimeable number, because it can be changed into a prime (95654736967) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 846502041 + ... + 846502153.

Almost surely, 2^95654736961 is an apocalyptic number.

95654736961 is the 309281-st square number.

95654736961 is the 154641-st centered octagonal number.

It is an amenable number.

95654736961 is a deficient number, since it is larger than the sum of its proper divisors (29013371240).

95654736961 is a wasteful number, since it uses less digits than its factorization.

95654736961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 160 counting only the distinct ones).

The product of its digits is 36741600, while the sum is 61.

The spelling of 95654736961 in words is "ninety-five billion, six hundred fifty-four million, seven hundred thirty-six thousand, nine hundred sixty-one".