14793137408 has 72 divisors (see below), whose sum is σ = 34222446720. Its totient is φ = 6250567680.

The previous prime is 14793137399. The next prime is 14793137431. The reversal of 14793137408 is 80473139741.

14793137408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69098 + ... + 185366.

It is an arithmetic number, because the mean of its divisors is an integer number (475311760).

Almost surely, 2^14793137408 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 14793137408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17111223360).

14793137408 is an abundant number, since it is smaller than the sum of its proper divisors (19429309312).

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

14793137408 is an equidigital number, since it uses as much as digits as its factorization.

14793137408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116363 (or 116349 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 47.

The spelling of 14793137408 in words is "fourteen billion, seven hundred ninety-three million, one hundred thirty-seven thousand, four hundred eight".