11714425632000 has 3456 divisors, whose sum is σ = 54580231480320. Its totient is φ = 2422230220800.

The previous prime is 11714425631959. The next prime is 11714425632097. The reversal of 11714425632000 is 23652441711.

11714425632000 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 442 + 5 + 6 + 3 + 200 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 74614175922 + ... + 74614176078.

Almost surely, 2^{11714425632000} is an apocalyptic number.

11714425632000 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 11714425632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27290115740160).

11714425632000 is an abundant number, since it is smaller than the sum of its proper divisors (42865805848320).

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

11714425632000 is a wasteful number, since it uses less digits than its factorization.

11714425632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 11714425632000 in words is "eleven trillion, seven hundred fourteen billion, four hundred twenty-five million, six hundred thirty-two thousand".