1312553991168 has 1056 divisors, whose sum is σ = 4877815623680. Its totient is φ = 341118812160.

The previous prime is 1312553991143. The next prime is 1312553991169. The reversal of 1312553991168 is 8611993552131.

It is a happy number.

1312553991168 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 5 + 539 + 91 + 16 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312553991169) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1733888646 + ... + 1733889402.

Almost surely, 2^{1312553991168} is an apocalyptic number.

1312553991168 is a gapful number since it is divisible by the number (18) 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 1312553991168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438907811840).

1312553991168 is an abundant number, since it is smaller than the sum of its proper divisors (3565261632512).

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

1312553991168 is a wasteful number, since it uses less digits than its factorization.

1312553991168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 817 counting only the distinct ones).

The product of its digits is 1749600, while the sum is 54.

The spelling of 1312553991168 in words is "one trillion, three hundred twelve billion, five hundred fifty-three million, nine hundred ninety-one thousand, one hundred sixty-eight".