13416352656 has 160 divisors (see below), whose sum is σ = 41953981440. Its totient is φ = 3608934912.

The previous prime is 13416352619. The next prime is 13416352667. The reversal of 13416352656 is 65625361431.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 1034146 + ... + 1047038.

It is an arithmetic number, because the mean of its divisors is an integer number (262212384).

Almost surely, 2^13416352656 is an apocalyptic number.

13416352656 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 13416352656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20976990720).

13416352656 is an abundant number, since it is smaller than the sum of its proper divisors (28537628784).

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

13416352656 is a wasteful number, since it uses less digits than its factorization.

13416352656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13093 (or 13087 counting only the distinct ones).

The product of its digits is 388800, while the sum is 42.

The spelling of 13416352656 in words is "thirteen billion, four hundred sixteen million, three hundred fifty-two thousand, six hundred fifty-six".