16955644655961 has 96 divisors (see below), whose sum is σ = 27160914059136. Its totient is φ = 10107296640000.

The previous prime is 16955644655951. The next prime is 16955644656001.

It is a happy number.

16955644655961 is a `hidden beast` number, since 1 + 6 + 9 + 5 + 5 + 6 + 4 + 4 + 6 + 559 + 61 = 666.

16955644655961 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 16955644655961 - 2¹³ = 16955644647769 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 16955644655961.

It is not an unprimeable number, because it can be changed into a prime (16955644655951) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1361127645 + ... + 1361140101.

It is an arithmetic number, because the mean of its divisors is an integer number (282926188116).

Almost surely, 2^{16955644655961} is an apocalyptic number.

16955644655961 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16955644655961 is a deficient number, since it is larger than the sum of its proper divisors (10205269403175).

16955644655961 is a wasteful number, since it uses less digits than its factorization.

16955644655961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13463 (or 13460 counting only the distinct ones).

The product of its digits is 1049760000, while the sum is 72.

The spelling of 16955644655961 in words is "sixteen trillion, nine hundred fifty-five billion, six hundred forty-four million, six hundred fifty-five thousand, nine hundred sixty-one".