12251759648 has 54 divisors (see below), whose sum is σ = 25645256973. Its totient is φ = 5760524800.

The previous prime is 12251759633. The next prime is 12251759701. The reversal of 12251759648 is 84695715221.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 11213115664 + 1038643984 = 105892^2 + 32228^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=78268.

It is a super-2 number, since 2×12251759648² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12251759596 and 12251759605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10643873 + ... + 10645023.

Almost surely, 2^12251759648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12251759648

12251759648 is an abundant number, since it is smaller than the sum of its proper divisors (13393497325).

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

12251759648 is an frugal number, since it uses more digits than its factorization.

12251759648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346 (or 1170 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 50.

Multiplying 12251759648 by its sum of digits (50), we get a square (612587982400 = 782680²).

The spelling of 12251759648 in words is "twelve billion, two hundred fifty-one million, seven hundred fifty-nine thousand, six hundred forty-eight".