13582914048 has 360 divisors, whose sum is σ = 45655413804. Its totient is φ = 3871211520.

The previous prime is 13582914029. The next prime is 13582914229. The reversal of 13582914048 is 84041928531.

13582914048 is a `hidden beast` number, since 1 + 358 + 291 + 4 + 0 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 12177563904 + 1405350144 = 110352^2 + 37488^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13582913994 and 13582914012.

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 35 ways as a sum of consecutive naturals, for example, 9477940 + ... + 9479372.

Almost surely, 2^13582914048 is an apocalyptic number.

13582914048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13582914048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22827706902).

13582914048 is an abundant number, since it is smaller than the sum of its proper divisors (32072499756).

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

13582914048 is a wasteful number, since it uses less digits than its factorization.

13582914048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1496 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 13582914048 in words is "thirteen billion, five hundred eighty-two million, nine hundred fourteen thousand, forty-eight".