14123420964 has 81 divisors (see below), whose sum is σ = 37028599153. Its totient is φ = 4538813664.

The previous prime is 14123420959. The next prime is 14123420981. The reversal of 14123420964 is 46902432141.

The square root of 14123420964 is 118842.

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

14123420964 is a `hidden beast` number, since 1 + 412 + 34 + 209 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7405979364 + 6717441600 = 86058^2 + 81960^2 .

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

It is a Duffinian number.

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, 20678167 + ... + 20678849.

Almost surely, 2^14123420964 is an apocalyptic number.

14123420964 is the 118842-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14123420964

14123420964 is an abundant number, since it is smaller than the sum of its proper divisors (22905178189).

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

14123420964 is an equidigital number, since it uses as much as digits as its factorization.

14123420964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Multiplying 14123420964 by its sum of digits (36), we get a square (508443154704 = 713052²).

14123420964 divided by its sum of digits (36) gives a square (392317249 = 19807²).

The spelling of 14123420964 in words is "fourteen billion, one hundred twenty-three million, four hundred twenty thousand, nine hundred sixty-four".