13531048992 has 36 divisors (see below), whose sum is σ = 38478921390. Its totient is φ = 4510349568.

The previous prime is 13531048943. The next prime is 13531049041. The reversal of 13531048992 is 29984013531.

It is a happy number.

13531048992 is a `hidden beast` number, since 135 + 31 + 0 + 489 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (13531048943) and next prime (13531049041).

It can be written as a sum of positive squares in only one way, i.e., 12355656336 + 1175392656 = 111156^2 + 34284^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 23491117 + ... + 23491692.

Almost surely, 2^13531048992 is an apocalyptic number.

13531048992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13531048992 is an abundant number, since it is smaller than the sum of its proper divisors (24947872398).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13531048992 is a wasteful number, since it uses less digits than its factorization.

13531048992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46982825 (or 46982814 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 13531048992 in words is "thirteen billion, five hundred thirty-one million, forty-eight thousand, nine hundred ninety-two".