11545456131 has 48 divisors (see below), whose sum is σ = 18719457120. Its totient is φ = 6796224000.

The previous prime is 11545456129. The next prime is 11545456151. The reversal of 11545456131 is 13165454511.

11545456131 is a `hidden beast` number, since 1 + 1 + 54 + 545 + 61 + 3 + 1 = 666.

It is not a de Polignac number, because 11545456131 - 2¹ = 11545456129 is a prime.

It is a super-2 number, since 2×11545456131² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (11545456151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 923301 + ... + 935721.

It is an arithmetic number, because the mean of its divisors is an integer number (389988690).

Almost surely, 2^11545456131 is an apocalyptic number.

11545456131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11545456131 is a deficient number, since it is larger than the sum of its proper divisors (7174000989).

11545456131 is a wasteful number, since it uses less digits than its factorization.

11545456131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12708 (or 12705 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The spelling of 11545456131 in words is "eleven billion, five hundred forty-five million, four hundred fifty-six thousand, one hundred thirty-one".