13813434456 has 64 divisors (see below), whose sum is σ = 36652694400. Its totient is φ = 4323230208.

The previous prime is 13813434449. The next prime is 13813434487. The reversal of 13813434456 is 65443431831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130551 + ... + 211353.

It is an arithmetic number, because the mean of its divisors is an integer number (572698350).

Almost surely, 2^13813434456 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 13813434456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18326347200).

13813434456 is an abundant number, since it is smaller than the sum of its proper divisors (22839259944).

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

13813434456 is a wasteful number, since it uses less digits than its factorization.

13813434456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81248 (or 81244 counting only the distinct ones).

The product of its digits is 414720, while the sum is 42.

The spelling of 13813434456 in words is "thirteen billion, eight hundred thirteen million, four hundred thirty-four thousand, four hundred fifty-six".