13875565400064 has 585 divisors, whose sum is σ = 43122310938993. Its totient is φ = 4445673652224.

The previous prime is 13875565400041. The next prime is 13875565400077. The reversal of 13875565400064 is 46000456557831.

It is a happy number.

The square root of 13875565400064 is 3724992.

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

13875565400064 is a `hidden beast` number, since 1 + 3 + 8 + 75 + 565 + 4 + 0 + 0 + 0 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7276009918464 + 6599555481600 = 2697408^2 + 2568960^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 62222266257 + ... + 62222266479.

Almost surely, 2^{13875565400064} is an apocalyptic number.

13875565400064 is the 3724992-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13875565400064

13875565400064 is an abundant number, since it is smaller than the sum of its proper divisors (29246745538929).

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

13875565400064 is an frugal number, since it uses more digits than its factorization.

13875565400064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 13875565400064 in words is "thirteen trillion, eight hundred seventy-five billion, five hundred sixty-five million, four hundred thousand, sixty-four".