13629765268 has 24 divisors (see below), whose sum is σ = 27540562112. Its totient is φ = 5781106944.

The previous prime is 13629765263. The next prime is 13629765269. The reversal of 13629765268 is 86256792631.

13629765268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13629765268² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13629765263) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2506446 + ... + 2511877.

Almost surely, 2^13629765268 is an apocalyptic number.

It is an amenable number.

13629765268 is an abundant number, since it is smaller than the sum of its proper divisors (13910796844).

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

13629765268 is a wasteful number, since it uses less digits than its factorization.

13629765268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5018431 (or 5018429 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 55.

The spelling of 13629765268 in words is "thirteen billion, six hundred twenty-nine million, seven hundred sixty-five thousand, two hundred sixty-eight".