12924961344 has 105 divisors (see below), whose sum is σ = 38337914307. Its totient is φ = 4305591936.

The previous prime is 12924961333. The next prime is 12924961349. The reversal of 12924961344 is 44316942921.

The square root of 12924961344 is 113688.

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

12924961344 is a `hidden beast` number, since 1 + 2 + 9 + 24 + 9 + 613 + 4 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12924961344.

It is not an unprimeable number, because it can be changed into a prime (12924961349) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8184747 + ... + 8186325.

Almost surely, 2^12924961344 is an apocalyptic number.

12924961344 is the 113688-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12924961344

12924961344 is an abundant number, since it is smaller than the sum of its proper divisors (25412952963).

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

12924961344 is an frugal number, since it uses more digits than its factorization.

12924961344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3182 (or 1584 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 12924961344 in words is "twelve billion, nine hundred twenty-four million, nine hundred sixty-one thousand, three hundred forty-four".