12819096612864 has 416 divisors, whose sum is σ = 38646055392000. Its totient is φ = 4198192644096.

The previous prime is 12819096612827. The next prime is 12819096612871. The reversal of 12819096612864 is 46821669091821.

12819096612864 is a `hidden beast` number, since 1 + 2 + 8 + 1 + 9 + 0 + 9 + 6 + 612 + 8 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3104647152 + ... + 3104651280.

Almost surely, 2^{12819096612864} 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 12819096612864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19323027696000).

12819096612864 is an abundant number, since it is smaller than the sum of its proper divisors (25826958779136).

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

12819096612864 is an equidigital number, since it uses as much as digits as its factorization.

12819096612864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4648 (or 4620 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 12819096612864 in words is "twelve trillion, eight hundred nineteen billion, ninety-six million, six hundred twelve thousand, eight hundred sixty-four".