13814842496 has 128 divisors (see below), whose sum is σ = 34303987200. Its totient is φ = 5395673088.

The previous prime is 13814842453. The next prime is 13814842541. The reversal of 13814842496 is 69424841831.

It is a tau number, because it is divible by the number of its divisors (128).

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, 912686 + ... + 927698.

It is an arithmetic number, because the mean of its divisors is an integer number (267999900).

Almost surely, 2^13814842496 is an apocalyptic number.

13814842496 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 13814842496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17151993600).

13814842496 is an abundant number, since it is smaller than the sum of its proper divisors (20489144704).

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

13814842496 is a wasteful number, since it uses less digits than its factorization.

13814842496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15126 (or 15114 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 50.

The spelling of 13814842496 in words is "thirteen billion, eight hundred fourteen million, eight hundred forty-two thousand, four hundred ninety-six".