13974537376800 has 11520 divisors, whose sum is σ = 82323130982400. Its totient is φ = 2207239372800.

The previous prime is 13974537376757. The next prime is 13974537376859. The reversal of 13974537376800 is 867373547931.

It is a happy number.

13974537376800 is a `hidden beast` number, since 1 + 3 + 9 + 7 + 4 + 537 + 37 + 68 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 1919 ways as a sum of consecutive naturals, for example, 481880599186 + ... + 481880599214.

It is an arithmetic number, because the mean of its divisors is an integer number (7146105120).

13974537376800 is a superabundant number, because it has a larger abundancy index than any smaller number.

Almost surely, 2^{13974537376800} is an apocalyptic number.

13974537376800 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 13974537376800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41161565491200).

13974537376800 is an abundant number, since it is smaller than the sum of its proper divisors (68348593605600).

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

13974537376800 is a wasteful number, since it uses less digits than its factorization.

13974537376800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 63.

The spelling of 13974537376800 in words is "thirteen trillion, nine hundred seventy-four billion, five hundred thirty-seven million, three hundred seventy-six thousand, eight hundred".