13765320468 has 30 divisors (see below), whose sum is σ = 35985267626. Its totient is φ = 4588440048.

The previous prime is 13765320421. The next prime is 13765320509. The reversal of 13765320468 is 86402356731.

13765320468 is a `hidden beast` number, since 1 + 3 + 76 + 532 + 0 + 46 + 8 = 666.

13765320468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 13748031504 + 17288964 = 117252^2 + 4158^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 21242455 + ... + 21243102.

Almost surely, 2^13765320468 is an apocalyptic number.

13765320468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13765320468 is an abundant number, since it is smaller than the sum of its proper divisors (22219947158).

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

13765320468 is a wasteful number, since it uses less digits than its factorization.

13765320468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42485573 (or 42485562 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 13765320468 in words is "thirteen billion, seven hundred sixty-five million, three hundred twenty thousand, four hundred sixty-eight".