14130552384 has 315 divisors, whose sum is σ = 45717301377. Its totient is φ = 4313627136.

The previous prime is 14130552349. The next prime is 14130552413. The reversal of 14130552384 is 48325503141.

The square root of 14130552384 is 118872.

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

14130552384 is a `hidden beast` number, since 1 + 41 + 30 + 552 + 38 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2090318400 + 12040233984 = 45720^2 + 109728^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 111264129 + ... + 111264255.

Almost surely, 2^14130552384 is an apocalyptic number.

14130552384 is the 118872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14130552384

14130552384 is an abundant number, since it is smaller than the sum of its proper divisors (31586748993).

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

14130552384 is an equidigital number, since it uses as much as digits as its factorization.

14130552384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Multiplying 14130552384 by its sum of digits (36), we get a square (508699885824 = 713232²).

14130552384 divided by its sum of digits (36) gives a square (392515344 = 19812²).

Multiplying 14130552384 by its product of nonzero digits (57600), we get a square (813919817318400 = 28529280²).

The spelling of 14130552384 in words is "fourteen billion, one hundred thirty million, five hundred fifty-two thousand, three hundred eighty-four".