14813308416 has 160 divisors (see below), whose sum is σ = 40367416320. Its totient is φ = 4825718784.

The previous prime is 14813308337. The next prime is 14813308417. The reversal of 14813308416 is 61480331841.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14813308417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20208786 + ... + 20209518.

It is an arithmetic number, because the mean of its divisors is an integer number (252296352).

Almost surely, 2^14813308416 is an apocalyptic number.

14813308416 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 14813308416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20183708160).

14813308416 is an abundant number, since it is smaller than the sum of its proper divisors (25554107904).

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

14813308416 is an equidigital number, since it uses as much as digits as its factorization.

14813308416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 14813308416 in words is "fourteen billion, eight hundred thirteen million, three hundred eight thousand, four hundred sixteen".