10644664013312 has 120 divisors (see below), whose sum is σ = 24743645190396. Its totient is φ = 4561502281728.

The previous prime is 10644664013293. The next prime is 10644664013369. The reversal of 10644664013312 is 21331046644601.

It can be written as a sum of positive squares in 2 ways, for example, as 10201022761216 + 443641252096 = 3193904^2 + 666064^2 .

It is a super-2 number, since 2×10644664013312² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10644664013312.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 317421698 + ... + 317455230.

Almost surely, 2^{10644664013312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10644664013312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12371822595198).

10644664013312 is an abundant number, since it is smaller than the sum of its proper divisors (14098981177084).

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

10644664013312 is an equidigital number, since it uses as much as digits as its factorization.

10644664013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46218 (or 46195 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 41.

The spelling of 10644664013312 in words is "ten trillion, six hundred forty-four billion, six hundred sixty-four million, thirteen thousand, three hundred twelve".