1313872679808 has 384 divisors, whose sum is σ = 4470840148320. Its totient is φ = 380486025216.

The previous prime is 1313872679701. The next prime is 1313872679837. The reversal of 1313872679808 is 8089762783131.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1313872679808² (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6778416 + ... + 6969552.

Almost surely, 2^{1313872679808} is an apocalyptic number.

1313872679808 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 1313872679808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2235420074160).

1313872679808 is an abundant number, since it is smaller than the sum of its proper divisors (3156967468512).

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

1313872679808 is a wasteful number, since it uses less digits than its factorization.

1313872679808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191196 (or 191172 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 1313872679808 in words is "one trillion, three hundred thirteen billion, eight hundred seventy-two million, six hundred seventy-nine thousand, eight hundred eight".