12493651968 has 432 divisors, whose sum is σ = 44165852640. Its totient is φ = 3321888768.

The previous prime is 12493651931. The next prime is 12493651969. The reversal of 12493651968 is 86915639421.

12493651968 is a `hidden beast` number, since 1 + 2 + 493 + 65 + 1 + 96 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12493651969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140378068 + ... + 140378156.

It is an arithmetic number, because the mean of its divisors is an integer number (102235770).

Almost surely, 2^12493651968 is an apocalyptic number.

12493651968 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 12493651968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22082926320).

12493651968 is an abundant number, since it is smaller than the sum of its proper divisors (31672200672).

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

12493651968 is an frugal number, since it uses more digits than its factorization.

12493651968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 118 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 12493651968 in words is "twelve billion, four hundred ninety-three million, six hundred fifty-one thousand, nine hundred sixty-eight".