12393331728624 has 240 divisors, whose sum is σ = 45518457703680. Its totient is φ = 3049623613440.

The previous prime is 12393331728619. The next prime is 12393331728637. The reversal of 12393331728624 is 42682713339321.

12393331728624 is a `hidden beast` number, since 1 + 2 + 3 + 9 + 3 + 3 + 3 + 1 + 7 + 2 + 8 + 624 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29203137 + ... + 29624480.

It is an arithmetic number, because the mean of its divisors is an integer number (189660240432).

Almost surely, 2^{12393331728624} is an apocalyptic number.

12393331728624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12393331728624 is an abundant number, since it is smaller than the sum of its proper divisors (33125125975056).

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

12393331728624 is a wasteful number, since it uses less digits than its factorization.

12393331728624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58827668 (or 58827659 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The spelling of 12393331728624 in words is "twelve trillion, three hundred ninety-three billion, three hundred thirty-one million, seven hundred twenty-eight thousand, six hundred twenty-four".