13974543696960 has 2688 divisors, whose sum is σ = 66997213102080. Its totient is φ = 2660810342400.

The previous prime is 13974543696917. The next prime is 13974543697021. The reversal of 13974543696960 is 6969634547931.

13974543696960 is a `hidden beast` number, since 1 + 3 + 9 + 7 + 45 + 436 + 96 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 7445147542 + ... + 7445149418.

Almost surely, 2^{13974543696960} is an apocalyptic number.

13974543696960 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 13974543696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33498606551040).

13974543696960 is an abundant number, since it is smaller than the sum of its proper divisors (53022669405120).

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

13974543696960 is a wasteful number, since it uses less digits than its factorization.

13974543696960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990 (or 1955 counting only the distinct ones).

The product of its (nonzero) digits is 793618560, while the sum is 72.

The spelling of 13974543696960 in words is "thirteen trillion, nine hundred seventy-four billion, five hundred forty-three million, six hundred ninety-six thousand, nine hundred sixty".