14139112464 has 135 divisors (see below), whose sum is σ = 41201974047. Its totient is φ = 4700195424.

The previous prime is 14139112451. The next prime is 14139112531. The reversal of 14139112464 is 46421193141.

The square root of 14139112464 is 118908.

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

14139112464 is a `hidden beast` number, since 141 + 391 + 124 + 6 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 38526009 + ... + 38526375.

Almost surely, 2^14139112464 is an apocalyptic number.

14139112464 is the 118908-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14139112464

14139112464 is an abundant number, since it is smaller than the sum of its proper divisors (27062861583).

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

14139112464 is an frugal number, since it uses more digits than its factorization.

14139112464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 372 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

Multiplying 14139112464 by its sum of digits (36), we get a square (509008048704 = 713448²).

14139112464 divided by its sum of digits (36) gives a square (392753124 = 19818²).

Multiplying 14139112464 by its product of digits (20736), we get a square (293188636053504 = 17122752²).

The spelling of 14139112464 in words is "fourteen billion, one hundred thirty-nine million, one hundred twelve thousand, four hundred sixty-four".