12319552446084 has 243 divisors, whose sum is σ = 35834623144047. Its totient is φ = 3566305387008.

The previous prime is 12319552446073. The next prime is 12319552446119. The reversal of 12319552446084 is 48064425591321.

The square root of 12319552446084 is 3509922.

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

12319552446084 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 9 + 5 + 5 + 24 + 4 + 608 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 111236924484 + 12208315521600 = 333522^2 + 3494040^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12319552446084.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4654155249 + ... + 4654157895.

Almost surely, 2^{12319552446084} is an apocalyptic number.

12319552446084 is the 3509922-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12319552446084

12319552446084 is an abundant number, since it is smaller than the sum of its proper divisors (23515070697963).

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

12319552446084 is a wasteful number, since it uses less digits than its factorization.

12319552446084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5364 (or 2682 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 12319552446084 in words is "twelve trillion, three hundred nineteen billion, five hundred fifty-two million, four hundred forty-six thousand, eighty-four".