13667430240384 has 128 divisors (see below), whose sum is σ = 39104569774080. Its totient is φ = 4217159316480.

The previous prime is 13667430240379. The next prime is 13667430240391. The reversal of 13667430240384 is 48304203476631.

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, 24685722 + ... + 25233305.

It is an arithmetic number, because the mean of its divisors is an integer number (305504451360).

Almost surely, 2^{13667430240384} is an apocalyptic number.

It is an amenable number.

13667430240384 is an abundant number, since it is smaller than the sum of its proper divisors (25437139533696).

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

13667430240384 is a wasteful number, since it uses less digits than its factorization.

13667430240384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49919098 (or 49919086 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 51.

The spelling of 13667430240384 in words is "thirteen trillion, six hundred sixty-seven billion, four hundred thirty million, two hundred forty thousand, three hundred eighty-four".