12942466734096 has 135 divisors (see below), whose sum is σ = 36359310801879. Its totient is φ = 4297736295936.

The previous prime is 12942466734083. The next prime is 12942466734139. The reversal of 12942466734096 is 69043766424921.

The square root of 12942466734096 is 3597564.

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

12942466734096 is a `hidden beast` number, since 1 + 2 + 9 + 42 + 466 + 7 + 3 + 40 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10537684592400 + 2404782141696 = 3246180^2 + 1550736^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17656843746 + ... + 17656844478.

Almost surely, 2^{12942466734096} is an apocalyptic number.

12942466734096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12942466734096 is the 3597564-th square number.

It is an amenable number.

12942466734096 is an abundant number, since it is smaller than the sum of its proper divisors (23416844067783).

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

12942466734096 is an frugal number, since it uses more digits than its factorization.

12942466734096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 12942466734096 in words is "twelve trillion, nine hundred forty-two billion, four hundred sixty-six million, seven hundred thirty-four thousand, ninety-six".