13735252068 has 48 divisors (see below), whose sum is σ = 34761835584. Its totient is φ = 4203996160.

The previous prime is 13735252021. The next prime is 13735252103. The reversal of 13735252068 is 86025253731.

It is a happy 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, 812730 + ... + 829457.

It is an arithmetic number, because the mean of its divisors is an integer number (724204908).

Almost surely, 2^13735252068 is an apocalyptic number.

It is an amenable number.

13735252068 is an abundant number, since it is smaller than the sum of its proper divisors (21026583516).

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

13735252068 is a wasteful number, since it uses less digits than its factorization.

13735252068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642252 (or 1642250 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

It can be divided in two parts, 137352 and 52068, that added together give a triangular number (189420 = T₆₁₅).

The spelling of 13735252068 in words is "thirteen billion, seven hundred thirty-five million, two hundred fifty-two thousand, sixty-eight".