9972116631 has 24 divisors (see below), whose sum is σ = 14953002064. Its totient is φ = 6641248320.

The previous prime is 9972116629. The next prime is 9972116633. The reversal of 9972116631 is 1366112799.

9972116631 is a `hidden beast` number, since 9 + 9 + 7 + 2 + 1 + 1 + 6 + 631 = 666.

It is an interprime number because it is at equal distance from previous prime (9972116629) and next prime (9972116633).

It is not a de Polignac number, because 9972116631 - 2¹ = 9972116629 is a prime.

It is a super-2 number, since 2×9972116631² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9972116633) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221691 + ... + 262851.

Almost surely, 2^9972116631 is an apocalyptic number.

9972116631 is a deficient number, since it is larger than the sum of its proper divisors (4980885433).

9972116631 is an equidigital number, since it uses as much as digits as its factorization.

9972116631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42173 (or 42161 counting only the distinct ones).

The product of its digits is 122472, while the sum is 45.

The square root of 9972116631 is about 99860.4858339874. The cubic root of 9972116631 is about 2152.4303960788.

The spelling of 9972116631 in words is "nine billion, nine hundred seventy-two million, one hundred sixteen thousand, six hundred thirty-one".