13978386157824 has 729 divisors, whose sum is σ = 45383120563599. Its totient is φ = 4134778306560.

The previous prime is 13978386157819. The next prime is 13978386157843. The reversal of 13978386157824 is 42875168387931.

The square root of 13978386157824 is 3738768.

It is a perfect power (a square), and thus also a powerful number.

13978386157824 is a `hidden beast` number, since 1 + 3 + 9 + 78 + 386 + 157 + 8 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3947860224 + 13974438297600 = 62832^2 + 3738240^2 .

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

Its product of digits (487710720) is a multiple of the sum of its prime factors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 144107073744 + ... + 144107073840.

Almost surely, 2^{13978386157824} is an apocalyptic number.

13978386157824 is the 3738768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13978386157824

13978386157824 is an abundant number, since it is smaller than the sum of its proper divisors (31404734405775).

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

13978386157824 is an frugal number, since it uses more digits than its factorization.

13978386157824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 186 counting only the distinct ones).

The product of its digits is 487710720, while the sum is 72.

The spelling of 13978386157824 in words is "thirteen trillion, nine hundred seventy-eight billion, three hundred eighty-six million, one hundred fifty-seven thousand, eight hundred twenty-four".