11627626131 has 24 divisors (see below), whose sum is σ = 18632877120. Its totient is φ = 6927601200.

The previous prime is 11627626093. The next prime is 11627626177. The reversal of 11627626131 is 13162672611.

11627626131 is a `hidden beast` number, since 1 + 1 + 6 + 27 + 626 + 1 + 3 + 1 = 666.

It is not a de Polignac number, because 11627626131 - 2²¹ = 11625528979 is a prime.

It is a super-2 number, since 2×11627626131² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11627626331) 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, 989505 + ... + 1001186.

It is an arithmetic number, because the mean of its divisors is an integer number (776369880).

Almost surely, 2^11627626131 is an apocalyptic number.

11627626131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11627626131 is a deficient number, since it is larger than the sum of its proper divisors (7005250989).

11627626131 is a wasteful number, since it uses less digits than its factorization.

11627626131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990767 (or 1990764 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The spelling of 11627626131 in words is "eleven billion, six hundred twenty-seven million, six hundred twenty-six thousand, one hundred thirty-one".