13764459136 has 64 divisors (see below), whose sum is σ = 27768545280. Its totient is φ = 6795629568.

The previous prime is 13764459097. The next prime is 13764459179. The reversal of 13764459136 is 63195446731.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×13764459136² (a number of 21 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 13764459136.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3623190 + ... + 3626986.

It is an arithmetic number, because the mean of its divisors is an integer number (433883520).

Almost surely, 2^13764459136 is an apocalyptic number.

13764459136 is a gapful number since it is divisible by the number (16) 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 13764459136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13884272640).

13764459136 is an abundant number, since it is smaller than the sum of its proper divisors (14004086144).

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

13764459136 is a wasteful number, since it uses less digits than its factorization.

13764459136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4161 (or 4149 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 49.

The spelling of 13764459136 in words is "thirteen billion, seven hundred sixty-four million, four hundred fifty-nine thousand, one hundred thirty-six".