13048581144368 has 80 divisors (see below), whose sum is σ = 31524619080960. Its totient is φ = 5083109587200.

The previous prime is 13048581144317. The next prime is 13048581144419. The reversal of 13048581144368 is 86344118584031.

It is an interprime number because it is at equal distance from previous prime (13048581144317) and next prime (13048581144419).

It is a super-2 number, since 2×13048581144368² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7570538 + ... + 9132918.

It is an arithmetic number, because the mean of its divisors is an integer number (394057738512).

Almost surely, 2^{13048581144368} is an apocalyptic number.

It is an amenable number.

13048581144368 is an abundant number, since it is smaller than the sum of its proper divisors (18476037936592).

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

13048581144368 is a wasteful number, since it uses less digits than its factorization.

13048581144368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569186 (or 1569180 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 56.

The spelling of 13048581144368 in words is "thirteen trillion, forty-eight billion, five hundred eighty-one million, one hundred forty-four thousand, three hundred sixty-eight".