13621688612631 has 32 divisors (see below), whose sum is σ = 23309841484800. Its totient is φ = 7769947155840.

The previous prime is 13621688612627. The next prime is 13621688612641.

It is a happy number.

13621688612631 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 16 + 8 + 8 + 612 + 6 + 3 + 1 = 666.

13621688612631 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13621688612631 - 2² = 13621688612627 is a prime.

It is a super-2 number, since 2×13621688612631² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13621688612611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1348944111 + ... + 1348954208.

It is an arithmetic number, because the mean of its divisors is an integer number (728432546400).

Almost surely, 2^{13621688612631} is an apocalyptic number.

13621688612631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13621688612631 is a deficient number, since it is larger than the sum of its proper divisors (9688152872169).

13621688612631 is a wasteful number, since it uses less digits than its factorization.

13621688612631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2697898356 (or 2697898350 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

It can be divided in two parts, 1362168 and 8612631, that added together give a palindrome (9974799).

The spelling of 13621688612631 in words is "thirteen trillion, six hundred twenty-one billion, six hundred eighty-eight million, six hundred twelve thousand, six hundred thirty-one".