365014138896 has 405 divisors, whose sum is σ = 1179711470847. Its totient is φ = 105269535360.

The previous prime is 365014138883. The next prime is 365014138903. The reversal of 365014138896 is 698831410563.

The square root of 365014138896 is 604164.

It is a perfect power (a square), and thus also a powerful number.

365014138896 is a `hidden beast` number, since 3 + 6 + 501 + 41 + 3 + 8 + 8 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1834241805 + ... + 1834242003.

Almost surely, 2^365014138896 is an apocalyptic number.

365014138896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

365014138896 is the 604164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 365014138896

365014138896 is an abundant number, since it is smaller than the sum of its proper divisors (814697331951).

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

365014138896 is a wasteful number, since it uses less digits than its factorization.

365014138896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 365014138896 in words is "three hundred sixty-five billion, fourteen million, one hundred thirty-eight thousand, eight hundred ninety-six".