14357504000364 has 96 divisors (see below), whose sum is σ = 38985683251200. Its totient is φ = 4027856943168.

The previous prime is 14357504000317. The next prime is 14357504000381. The reversal of 14357504000364 is 46300040575341.

It is a super-2 number, since 2×14357504000364² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5180464 + ... + 7453335.

It is an arithmetic number, because the mean of its divisors is an integer number (406100867200).

Almost surely, 2^{14357504000364} is an apocalyptic number.

14357504000364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

14357504000364 is an abundant number, since it is smaller than the sum of its proper divisors (24628179250836).

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

14357504000364 is a wasteful number, since it uses less digits than its factorization.

14357504000364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12634059 (or 12634057 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

The spelling of 14357504000364 in words is "fourteen trillion, three hundred fifty-seven billion, five hundred four million, three hundred sixty-four", and thus it is an aban number.