12494075812416 has 315 divisors, whose sum is σ = 40718505236563. Its totient is φ = 3785235252480.

The previous prime is 12494075812381. The next prime is 12494075812469. The reversal of 12494075812416 is 61421857049421.

The square root of 12494075812416 is 3534696.

It is a perfect power (a square), and thus also a powerful number.

12494075812416 is a `hidden beast` number, since 1 + 2 + 4 + 9 + 40 + 7 + 581 + 2 + 4 + 16 = 666.

It is a super-2 number, since 2×12494075812416² (a number of 27 digits) contains 22 as substring.

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

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 44 ways as a sum of consecutive naturals, for example, 2799477001 + ... + 2799481463.

Almost surely, 2^{12494075812416} is an apocalyptic number.

12494075812416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12494075812416 is the 3534696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12494075812416

12494075812416 is an abundant number, since it is smaller than the sum of its proper divisors (28224429424147).

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

12494075812416 is an frugal number, since it uses more digits than its factorization.

12494075812416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8972 (or 4479 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 12494075812416 in words is "twelve trillion, four hundred ninety-four billion, seventy-five million, eight hundred twelve thousand, four hundred sixteen".