14345331984 has 105 divisors (see below), whose sum is σ = 41709668053. Its totient is φ = 4777465536.

The previous prime is 14345331943. The next prime is 14345332013. The reversal of 14345331984 is 48913354341.

The square root of 14345331984 is 119772.

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

14345331984 is a `hidden beast` number, since 1 + 4 + 3 + 453 + 3 + 198 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 231891984 + 14113440000 = 15228^2 + 118800^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 12934822 + ... + 12935930.

Almost surely, 2^14345331984 is an apocalyptic number.

14345331984 is the 119772-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14345331984

14345331984 is an abundant number, since it is smaller than the sum of its proper divisors (27364336069).

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

14345331984 is an frugal number, since it uses more digits than its factorization.

14345331984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244 (or 1114 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 14345331984 in words is "fourteen billion, three hundred forty-five million, three hundred thirty-one thousand, nine hundred eighty-four".