13974736474800 has 1440 divisors, whose sum is σ = 53714670929920. Its totient is φ = 3482851737600.

The previous prime is 13974736474789. The next prime is 13974736474843. The reversal of 13974736474800 is 847463747931.

13974736474800 is a `hidden beast` number, since 1 + 3 + 97 + 4 + 7 + 3 + 64 + 7 + 480 + 0 = 666.

13974736474800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 18172608816 + ... + 18172609584.

Almost surely, 2^{13974736474800} is an apocalyptic number.

13974736474800 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 13974736474800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26857335464960).

13974736474800 is an abundant number, since it is smaller than the sum of its proper divisors (39739934455120).

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

13974736474800 is a wasteful number, since it uses less digits than its factorization.

13974736474800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 13974736474800 in words is "thirteen trillion, nine hundred seventy-four billion, seven hundred thirty-six million, four hundred seventy-four thousand, eight hundred".