13305299664 has 80 divisors (see below), whose sum is σ = 35282991744. Its totient is φ = 4318003200.

The previous prime is 13305299629. The next prime is 13305299699. The reversal of 13305299664 is 46699250331.

It is an interprime number because it is at equal distance from previous prime (13305299629) and next prime (13305299699).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 983184 + ... + 996624.

Almost surely, 2^13305299664 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 13305299664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17641495872).

13305299664 is an abundant number, since it is smaller than the sum of its proper divisors (21977692080).

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

13305299664 is a wasteful number, since it uses less digits than its factorization.

13305299664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13996 (or 13990 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 48.

The spelling of 13305299664 in words is "thirteen billion, three hundred five million, two hundred ninety-nine thousand, six hundred sixty-four".