12493088784 has 360 divisors, whose sum is σ = 41001542400. Its totient is φ = 3653164800.

The previous prime is 12493088761. The next prime is 12493088801. The reversal of 12493088784 is 48788039421.

It is a happy number.

12493088784 is a `hidden beast` number, since 1 + 2 + 493 + 0 + 88 + 78 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 12493088784.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35796642 + ... + 35796990.

Almost surely, 2^12493088784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12493088784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20500771200).

12493088784 is an abundant number, since it is smaller than the sum of its proper divisors (28508453616).

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

12493088784 is an equidigital number, since it uses as much as digits as its factorization.

12493088784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 12493088784 in words is "twelve billion, four hundred ninety-three million, eighty-eight thousand, seven hundred eighty-four".