12001665492964 has 81 divisors (see below), whose sum is σ = 24536372208411. Its totient is φ = 5121683212800.

The previous prime is 12001665492953. The next prime is 12001665493033. The reversal of 12001665492964 is 46929456610021.

The square root of 12001665492964 is 3464342.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1124808724900 + 10876856768064 = 1060570^2 + 3298008^2 .

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, 17120777814 + ... + 17120778514.

Almost surely, 2^{12001665492964} is an apocalyptic number.

12001665492964 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12001665492964 is the 3464342-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12001665492964

12001665492964 is an abundant number, since it is smaller than the sum of its proper divisors (12534706715447).

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

12001665492964 is an frugal number, since it uses more digits than its factorization.

12001665492964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2126 (or 1063 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 55.

The spelling of 12001665492964 in words is "twelve trillion, one billion, six hundred sixty-five million, four hundred ninety-two thousand, nine hundred sixty-four".