11825427971344 has 75 divisors (see below), whose sum is σ = 24825893997347. Its totient is φ = 5456816923584.

The previous prime is 11825427971323. The next prime is 11825427971347. The reversal of 11825427971344 is 44317972452811.

The square root of 11825427971344 is 3438812.

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

It can be written as a sum of positive squares in 2 ways, for example, as 5863236073744 + 5962191897600 = 2421412^2 + 2441760^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11825427971347) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 2324634369 + ... + 2324639455.

Almost surely, 2^{11825427971344} is an apocalyptic number.

11825427971344 is the 3438812-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11825427971344

11825427971344 is an abundant number, since it is smaller than the sum of its proper divisors (13000466026003).

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

11825427971344 is an frugal number, since it uses more digits than its factorization.

11825427971344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10234 (or 5102 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 58.

The spelling of 11825427971344 in words is "eleven trillion, eight hundred twenty-five billion, four hundred twenty-seven million, nine hundred seventy-one thousand, three hundred forty-four".