12493051490304 has 2808 divisors, whose sum is σ = 50178512245680. Its totient is φ = 3090135121920.

The previous prime is 12493051490299. The next prime is 12493051490321. The reversal of 12493051490304 is 40309415039421.

12493051490304 is a `hidden beast` number, since 1 + 2 + 49 + 3 + 0 + 514 + 90 + 3 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12493051490304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 171137691612 + ... + 171137691684.

Almost surely, 2^{12493051490304} is an apocalyptic number.

12493051490304 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 12493051490304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25089256122840).

12493051490304 is an abundant number, since it is smaller than the sum of its proper divisors (37685460755376).

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

12493051490304 is an equidigital number, since it uses as much as digits as its factorization.

12493051490304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 12493051490304 in words is "twelve trillion, four hundred ninety-three billion, fifty-one million, four hundred ninety thousand, three hundred four".