13342257876864 has 64 divisors (see below), whose sum is σ = 40503282848640. Its totient is φ = 3812073678336.

The previous prime is 13342257876799. The next prime is 13342257876881. The reversal of 13342257876864 is 46867875224331.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×13342257876864³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13342257876795 and 13342257876804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2481816114 + ... + 2481821489.

It is an arithmetic number, because the mean of its divisors is an integer number (632863794510).

Almost surely, 2^{13342257876864} is an apocalyptic number.

13342257876864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

13342257876864 is an abundant number, since it is smaller than the sum of its proper divisors (27161024971776).

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

13342257876864 is an equidigital number, since it uses as much as digits as its factorization.

13342257876864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4963637627 (or 4963637615 counting only the distinct ones).

The product of its digits is 325140480, while the sum is 66.

The spelling of 13342257876864 in words is "thirteen trillion, three hundred forty-two billion, two hundred fifty-seven million, eight hundred seventy-six thousand, eight hundred sixty-four".