11638585431 has 24 divisors (see below), whose sum is σ = 18835259664. Its totient is φ = 6863045760.

The previous prime is 11638585423. The next prime is 11638585459. The reversal of 11638585431 is 13458583611.

11638585431 is a `hidden beast` number, since 1 + 1 + 6 + 38 + 585 + 4 + 31 = 666.

It is not a de Polignac number, because 11638585431 - 2³ = 11638585423 is a prime.

It is a super-2 number, since 2×11638585431² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11638585481) 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, 1585006 + ... + 1592331.

It is an arithmetic number, because the mean of its divisors is an integer number (784802486).

Almost surely, 2^11638585431 is an apocalyptic number.

11638585431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11638585431 is a deficient number, since it is larger than the sum of its proper divisors (7196674233).

11638585431 is a wasteful number, since it uses less digits than its factorization.

11638585431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3177391 (or 3177388 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The spelling of 11638585431 in words is "eleven billion, six hundred thirty-eight million, five hundred eighty-five thousand, four hundred thirty-one".