14479992172800 has 5184 divisors, whose sum is σ = 72489227059200. Its totient is φ = 2759049216000.

The previous prime is 14479992172777. The next prime is 14479992172823. The reversal of 14479992172800 is 827129997441.

14479992172800 is a `hidden beast` number, since 1 + 4 + 479 + 9 + 92 + 1 + 72 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (14479992172777) and next prime (14479992172823).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 114015686337 + ... + 114015686463.

Almost surely, 2^{14479992172800} is an apocalyptic number.

14479992172800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14479992172800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36244613529600).

14479992172800 is an abundant number, since it is smaller than the sum of its proper divisors (58009234886400).

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

14479992172800 is a wasteful number, since it uses less digits than its factorization.

14479992172800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 14479992172800 in words is "fourteen trillion, four hundred seventy-nine billion, nine hundred ninety-two million, one hundred seventy-two thousand, eight hundred".