961656001163082 has 16 divisors (see below), whose sum is σ = 2137013335918080. Its totient is φ = 320552000387676.

The previous prime is 961656001162993. The next prime is 961656001163171. The reversal of 961656001163082 is 280361100656169.

961656001163082 is a `hidden beast` number, since 9 + 6 + 1 + 6 + 560 + 0 + 11 + 63 + 0 + 8 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (961656001162993) and next prime (961656001163171).

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 17808444465983 = 961656001163082 / (9 + 6 + 1 + 6 + 5 + 6 + 0 + 0 + 1 + 1 + 6 + 3 + 0 + 8 + 2).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8904222232938 + ... + 8904222233045.

It is an arithmetic number, because the mean of its divisors is an integer number (133563333494880).

Almost surely, 2^{961656001163082} is an apocalyptic number.

961656001163082 is an abundant number, since it is smaller than the sum of its proper divisors (1175357334754998).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

961656001163082 is a wasteful number, since it uses less digits than its factorization.

961656001163082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17808444465994 (or 17808444465988 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 961656001163082 in words is "nine hundred sixty-one trillion, six hundred fifty-six billion, one million, one hundred sixty-three thousand, eighty-two".