14325977952000 has 3456 divisors, whose sum is σ = 63837287055360. Its totient is φ = 3142250496000.

The previous prime is 14325977951981. The next prime is 14325977952017. The reversal of 14325977952000 is 25977952341.

14325977952000 is a `hidden beast` number, since 1 + 4 + 3 + 25 + 97 + 7 + 9 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×14325977952000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 112802975937 + ... + 112802976063.

Almost surely, 2^{14325977952000} is an apocalyptic number.

14325977952000 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 14325977952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31918643527680).

14325977952000 is an abundant number, since it is smaller than the sum of its proper divisors (49511309103360).

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

14325977952000 is a wasteful number, since it uses less digits than its factorization.

14325977952000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 14325977952000 in words is "fourteen trillion, three hundred twenty-five billion, nine hundred seventy-seven million, nine hundred fifty-two thousand".