1312868494656 has 672 divisors, whose sum is σ = 4173833664000. Its totient is φ = 393048059904.

The previous prime is 1312868494633. The next prime is 1312868494661. The reversal of 1312868494656 is 6564948682131.

1312868494656 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 86 + 8 + 494 + 65 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1312868494593 and 1312868494602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4276444455 + ... + 4276444761.

It is an arithmetic number, because the mean of its divisors is an integer number (6211062000).

Almost surely, 2^{1312868494656} is an apocalyptic number.

1312868494656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1312868494656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2086916832000).

1312868494656 is an abundant number, since it is smaller than the sum of its proper divisors (2860965169344).

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

1312868494656 is a wasteful number, since it uses less digits than its factorization.

1312868494656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619 (or 606 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 1312868494656 in words is "one trillion, three hundred twelve billion, eight hundred sixty-eight million, four hundred ninety-four thousand, six hundred fifty-six".