21360344306312 has 64 divisors (see below), whose sum is σ = 44419244486400. Its totient is φ = 9547633152000.

The previous prime is 21360344306309. The next prime is 21360344306321.

21360344306312 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20529512 + ... + 21544872.

It is an arithmetic number, because the mean of its divisors is an integer number (694050695100).

Almost surely, 2^{21360344306312} is an apocalyptic number.

21360344306312 is a gapful number since it is divisible by the number (22) 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 21360344306312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22209622243200).

21360344306312 is an abundant number, since it is smaller than the sum of its proper divisors (23058900180088).

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

21360344306312 is a wasteful number, since it uses less digits than its factorization.

21360344306312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019358 (or 1019354 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 38.

The spelling of 21360344306312 in words is "twenty-one trillion, three hundred sixty billion, three hundred forty-four million, three hundred six thousand, three hundred twelve".