13578657456 has 160 divisors (see below), whose sum is σ = 43490216448. Its totient is φ = 3554887680.

The previous prime is 13578657413. The next prime is 13578657493. The reversal of 13578657456 is 65475687531.

It is a junction number, because it is equal to n+sod(n) for n = 13578657396 and 13578657405.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 587071 + ... + 609761.

Almost surely, 2^13578657456 is an apocalyptic number.

13578657456 is a gapful number since it is divisible by the number (16) 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 13578657456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21745108224).

13578657456 is an abundant number, since it is smaller than the sum of its proper divisors (29911558992).

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

13578657456 is a wasteful number, since it uses less digits than its factorization.

13578657456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22859 (or 22853 counting only the distinct ones).

The product of its digits is 21168000, while the sum is 57.

The spelling of 13578657456 in words is "thirteen billion, five hundred seventy-eight million, six hundred fifty-seven thousand, four hundred fifty-six".