13946539567120 has 40 divisors (see below), whose sum is σ = 32579380857600. Its totient is φ = 5552176882560.

The previous prime is 13946539567109. The next prime is 13946539567141. The reversal of 13946539567120 is 2176593564931.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 413091520 + ... + 413125279.

It is an arithmetic number, because the mean of its divisors is an integer number (814484521440).

Almost surely, 2^{13946539567120} is an apocalyptic number.

13946539567120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13946539567120 is an abundant number, since it is smaller than the sum of its proper divisors (18632841290480).

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

13946539567120 is a wasteful number, since it uses less digits than its factorization.

13946539567120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826217023 (or 826217017 counting only the distinct ones).

The product of its (nonzero) digits is 36741600, while the sum is 61.

The spelling of 13946539567120 in words is "thirteen trillion, nine hundred forty-six billion, five hundred thirty-nine million, five hundred sixty-seven thousand, one hundred twenty".