13105185456 has 160 divisors (see below), whose sum is σ = 38824800768. Its totient is φ = 3770398720.

The previous prime is 13105185449. The next prime is 13105185469. The reversal of 13105185456 is 65458150131.

It is a happy number.

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, 1659790 + ... + 1667666.

Almost surely, 2^13105185456 is an apocalyptic number.

13105185456 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 13105185456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19412400384).

13105185456 is an abundant number, since it is smaller than the sum of its proper divisors (25719615312).

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

13105185456 is a wasteful number, since it uses less digits than its factorization.

13105185456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8059 (or 8053 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 39.

The spelling of 13105185456 in words is "thirteen billion, one hundred five million, one hundred eighty-five thousand, four hundred fifty-six".