13657653152 has 192 divisors, whose sum is σ = 32383991808. Its totient is φ = 5588352000.

The previous prime is 13657653143. The next prime is 13657653181. The reversal of 13657653152 is 25135675631.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 41261627 + ... + 41261957.

It is an arithmetic number, because the mean of its divisors is an integer number (168666624).

Almost surely, 2^13657653152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13657653152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16191995904).

13657653152 is an abundant number, since it is smaller than the sum of its proper divisors (18726338656).

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

13657653152 is a wasteful number, since it uses less digits than its factorization.

13657653152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563 (or 555 counting only the distinct ones).

The product of its digits is 567000, while the sum is 44.

The spelling of 13657653152 in words is "thirteen billion, six hundred fifty-seven million, six hundred fifty-three thousand, one hundred fifty-two".