21791956631841 has 128 divisors (see below), whose sum is σ = 37409850777600. Its totient is φ = 12390810900480.

The previous prime is 21791956631839. The next prime is 21791956631843. The reversal of 21791956631841 is 14813665919712.

21791956631841 is a `hidden beast` number, since 2 + 1 + 7 + 9 + 19 + 566 + 3 + 18 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (21791956631839) and next prime (21791956631843).

It is not a de Polignac number, because 21791956631841 - 2¹ = 21791956631839 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21791956631843) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2333930925 + ... + 2333940261.

It is an arithmetic number, because the mean of its divisors is an integer number (292264459200).

Almost surely, 2^{21791956631841} is an apocalyptic number.

It is an amenable number.

21791956631841 is a deficient number, since it is larger than the sum of its proper divisors (15617894145759).

21791956631841 is a wasteful number, since it uses less digits than its factorization.

21791956631841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10796 (or 10790 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 63.

The spelling of 21791956631841 in words is "twenty-one trillion, seven hundred ninety-one billion, nine hundred fifty-six million, six hundred thirty-one thousand, eight hundred forty-one".