964875962961 has 45 divisors (see below), whose sum is σ = 1472761218201. Its totient is φ = 608723464824.

The previous prime is 964875962893. The next prime is 964875962971. The reversal of 964875962961 is 169269578469.

The square root of 964875962961 is 982281.

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

964875962961 is a `hidden beast` number, since 9 + 6 + 4 + 8 + 7 + 596 + 29 + 6 + 1 = 666.

It is not a de Polignac number, because 964875962961 - 2²⁹ = 964339092049 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 964875962961.

It is not an unprimeable number, because it can be changed into a prime (964875962971) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1063809870 + ... + 1063810776.

Almost surely, 2^964875962961 is an apocalyptic number.

964875962961 is the 982281-st square number.

964875962961 is the 491141-st centered octagonal number.

It is an amenable number.

964875962961 is a deficient number, since it is larger than the sum of its proper divisors (507885255240).

964875962961 is an frugal number, since it uses more digits than its factorization.

964875962961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 929 counting only the distinct ones).

The product of its digits is 352719360, while the sum is 72.

The spelling of 964875962961 in words is "nine hundred sixty-four billion, eight hundred seventy-five million, nine hundred sixty-two thousand, nine hundred sixty-one".