1012865113744 has 135 divisors (see below), whose sum is σ = 2190077309371. Its totient is φ = 453448990720.

The previous prime is 1012865113723. The next prime is 1012865113811. The reversal of 1012865113744 is 4473115682101.

The square root of 1012865113744 is 1006412.

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 105586003600 + 907279110144 = 324940^2 + 952512^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1012865113744.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3941109264 + ... + 3941109520.

Almost surely, 2^{1012865113744} is an apocalyptic number.

1012865113744 is the 1006412-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012865113744

1012865113744 is an abundant number, since it is smaller than the sum of its proper divisors (1177212195627).

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

1012865113744 is an frugal number, since it uses more digits than its factorization.

1012865113744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 1012865113744 in words is "one trillion, twelve billion, eight hundred sixty-five million, one hundred thirteen thousand, seven hundred forty-four".