1312137985664 has 384 divisors, whose sum is σ = 3137381145360. Its totient is φ = 543988121600.

The previous prime is 1312137985661. The next prime is 1312137985679. The reversal of 1312137985664 is 4665897312131.

It can be written as a sum of positive squares in 8 ways, for example, as 499962126400 + 812175859264 = 707080^2 + 901208^2 .

It is not an unprimeable number, because it can be changed into a prime (1312137985661) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2126641484 + ... + 2126642100.

Almost surely, 2^{1312137985664} 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 1312137985664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568690572680).

1312137985664 is an abundant number, since it is smaller than the sum of its proper divisors (1825243159696).

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

1312137985664 is a wasteful number, since it uses less digits than its factorization.

1312137985664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 885 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 56.

The spelling of 1312137985664 in words is "one trillion, three hundred twelve billion, one hundred thirty-seven million, nine hundred eighty-five thousand, six hundred sixty-four".