11251408993344 has 315 divisors, whose sum is σ = 34979846522387. Its totient is φ = 3457785816576.

The previous prime is 11251408993291. The next prime is 11251408993493. The reversal of 11251408993344 is 44339980415211.

The square root of 11251408993344 is 3354312.

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

11251408993344 is a `hidden beast` number, since 1 + 1 + 2 + 514 + 0 + 8 + 9 + 93 + 34 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5578628295744 + 5672780697600 = 2361912^2 + 2381760^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 13605089059 + ... + 13605089885.

Almost surely, 2^{11251408993344} is an apocalyptic number.

11251408993344 is the 3354312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11251408993344

11251408993344 is an abundant number, since it is smaller than the sum of its proper divisors (23728437529043).

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

11251408993344 is an frugal number, since it uses more digits than its factorization.

11251408993344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 11251408993344 in words is "eleven trillion, two hundred fifty-one billion, four hundred eight million, nine hundred ninety-three thousand, three hundred forty-four".