1312987500864 has 336 divisors, whose sum is σ = 4166582155008. Its totient is φ = 392689741824.

The previous prime is 1312987500859. The next prime is 1312987500931. The reversal of 1312987500864 is 4680057892131.

1312987500864 is a `hidden beast` number, since 1 + 3 + 129 + 8 + 7 + 500 + 8 + 6 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1312987500864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411980679 + ... + 411983865.

It is an arithmetic number, because the mean of its divisors is an integer number (12400542128).

It is a 1-persistent number, because it is pandigital, but 2⋅1312987500864 = 2625975001728 is not.

Almost surely, 2^{1312987500864} 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 1312987500864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083291077504).

1312987500864 is an abundant number, since it is smaller than the sum of its proper divisors (2853594654144).

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

1312987500864 is a wasteful number, since it uses less digits than its factorization.

1312987500864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4742 (or 4729 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1312987500864 in words is "one trillion, three hundred twelve billion, nine hundred eighty-seven million, five hundred thousand, eight hundred sixty-four".