13664144620 has 96 divisors (see below), whose sum is σ = 33673772160. Its totient is φ = 4559708160.

The previous prime is 13664144617. The next prime is 13664144623. The reversal of 13664144620 is 2644146631.

It is an interprime number because it is at equal distance from previous prime (13664144617) and next prime (13664144623).

It is a self number, because there is not a number n which added to its sum of digits gives 13664144620.

It is not an unprimeable number, because it can be changed into a prime (13664144623) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2620576 + ... + 2625784.

It is an arithmetic number, because the mean of its divisors is an integer number (350768460).

Almost surely, 2^13664144620 is an apocalyptic number.

13664144620 is a gapful number since it is divisible by the number (10) 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 13664144620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16836886080).

13664144620 is an abundant number, since it is smaller than the sum of its proper divisors (20009627540).

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

13664144620 is a wasteful number, since it uses less digits than its factorization.

13664144620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5723 (or 5721 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The spelling of 13664144620 in words is "thirteen billion, six hundred sixty-four million, one hundred forty-four thousand, six hundred twenty".