12257516544 has 352 divisors, whose sum is σ = 40607239680. Its totient is φ = 3200974848.

The previous prime is 12257516521. The next prime is 12257516549. The reversal of 12257516544 is 44561575221.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 12257516496 and 12257516505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12257516549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45566842 + ... + 45567110.

Almost surely, 2^12257516544 is an apocalyptic number.

12257516544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12257516544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20303619840).

12257516544 is an abundant number, since it is smaller than the sum of its proper divisors (28349723136).

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

12257516544 is a wasteful number, since it uses less digits than its factorization.

12257516544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 457 counting only the distinct ones).

The product of its digits is 336000, while the sum is 42.

The spelling of 12257516544 in words is "twelve billion, two hundred fifty-seven million, five hundred sixteen thousand, five hundred forty-four".