12253398768 has 400 divisors, whose sum is σ = 40834886400. Its totient is φ = 3518484480.

The previous prime is 12253398763. The next prime is 12253398793. The reversal of 12253398768 is 86789335221.

12253398768 is a `hidden beast` number, since 1 + 22 + 533 + 9 + 87 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12253398763) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15145948 + ... + 15146756.

It is an arithmetic number, because the mean of its divisors is an integer number (102087216).

Almost surely, 2^12253398768 is an apocalyptic number.

12253398768 is a gapful number since it is divisible by the number (18) 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 12253398768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20417443200).

12253398768 is an abundant number, since it is smaller than the sum of its proper divisors (28581487632).

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

12253398768 is a wasteful number, since it uses less digits than its factorization.

12253398768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902 (or 887 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The spelling of 12253398768 in words is "twelve billion, two hundred fifty-three million, three hundred ninety-eight thousand, seven hundred sixty-eight".