14691379264 has 63 divisors (see below), whose sum is σ = 29636320077. Its totient is φ = 7225936128.

The previous prime is 14691379259. The next prime is 14691379319. The reversal of 14691379264 is 46297319641.

The square root of 14691379264 is 121208.

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

It can be written as a sum of positive squares in only one way, i.e., 10239820864 + 4451558400 = 101192^2 + 66720^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 105693307 + ... + 105693445.

It is an arithmetic number, because the mean of its divisors is an integer number (470417779).

Almost surely, 2^14691379264 is an apocalyptic number.

14691379264 is the 121208-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14691379264

14691379264 is an abundant number, since it is smaller than the sum of its proper divisors (14944940813).

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

14691379264 is an frugal number, since it uses more digits than its factorization.

14691379264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 250 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 52.

The spelling of 14691379264 in words is "fourteen billion, six hundred ninety-one million, three hundred seventy-nine thousand, two hundred sixty-four".