13518597664 has 96 divisors (see below), whose sum is σ = 31708817280. Its totient is φ = 5592115200.

The previous prime is 13518597661. The next prime is 13518597667. The reversal of 13518597664 is 46679581531.

It is an interprime number because it is at equal distance from previous prime (13518597661) and next prime (13518597667).

It is a super-2 number, since 2×13518597664² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13518597661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 304092 + ... + 345700.

It is an arithmetic number, because the mean of its divisors is an integer number (330300180).

Almost surely, 2^13518597664 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 13518597664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15854408640).

13518597664 is an abundant number, since it is smaller than the sum of its proper divisors (18190219616).

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

13518597664 is a wasteful number, since it uses less digits than its factorization.

13518597664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41714 (or 41706 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 55.

The spelling of 13518597664 in words is "thirteen billion, five hundred eighteen million, five hundred ninety-seven thousand, six hundred sixty-four".