13993761274304 has 56 divisors (see below), whose sum is σ = 31822325544960. Its totient is φ = 5980984701696.

The previous prime is 13993761274247. The next prime is 13993761274319. The reversal of 13993761274304 is 40347216739931.

13993761274304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42391544 + ... + 42720375.

Almost surely, 2^{13993761274304} is an apocalyptic number.

13993761274304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13993761274304 is an abundant number, since it is smaller than the sum of its proper divisors (17828564270656).

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

13993761274304 is an equidigital number, since it uses as much as digits as its factorization.

13993761274304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85112305 (or 85112295 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 59.

The spelling of 13993761274304 in words is "thirteen trillion, nine hundred ninety-three billion, seven hundred sixty-one million, two hundred seventy-four thousand, three hundred four".