13110045696 has 220 divisors, whose sum is σ = 42711146280. Its totient is φ = 3972464640.

The previous prime is 13110045679. The next prime is 13110045719. The reversal of 13110045696 is 69654001131.

13110045696 is a `hidden beast` number, since 1 + 3 + 110 + 0 + 456 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13110045696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 905200 + ... + 919568.

It is an arithmetic number, because the mean of its divisors is an integer number (194141574).

Almost surely, 2^13110045696 is an apocalyptic number.

13110045696 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 13110045696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21355573140).

13110045696 is an abundant number, since it is smaller than the sum of its proper divisors (29601100584).

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

13110045696 is a wasteful number, since it uses less digits than its factorization.

13110045696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14412 (or 14385 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 13110045696 in words is "thirteen billion, one hundred ten million, forty-five thousand, six hundred ninety-six".