12835825274944 has 63 divisors (see below), whose sum is σ = 29630099350173. Its totient is φ = 5500981989888.

The previous prime is 12835825274933. The next prime is 12835825274953. The reversal of 12835825274944 is 44947252853821.

The square root of 12835825274944 is 3582712.

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., 7050299457600 + 5785525817344 = 2655240^2 + 2405312^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

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, 200599884 + ... + 200663860.

Almost surely, 2^{12835825274944} is an apocalyptic number.

12835825274944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12835825274944 is the 3582712-nd square number.

It is an amenable number.

12835825274944 is an abundant number, since it is smaller than the sum of its proper divisors (16794274075229).

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

12835825274944 is an frugal number, since it uses more digits than its factorization.

12835825274944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127980 (or 63986 counting only the distinct ones).

The product of its digits is 154828800, while the sum is 64.

Multiplying 12835825274944 by its sum of digits (64), we get a square (821492817596416 = 28661696²).

12835825274944 divided by its sum of digits (64) gives a square (200559769921 = 447839²).

The spelling of 12835825274944 in words is "twelve trillion, eight hundred thirty-five billion, eight hundred twenty-five million, two hundred seventy-four thousand, nine hundred forty-four".