13742493765 has 64 divisors (see below), whose sum is σ = 29522368512. Its totient is φ = 5271840000.

The previous prime is 13742493733. The next prime is 13742493811. The reversal of 13742493765 is 56739424731.

It is not a de Polignac number, because 13742493765 - 2⁵ = 13742493733 is a prime.

It is a super-2 number, since 2×13742493765² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 442611 + ... + 472640.

It is an arithmetic number, because the mean of its divisors is an integer number (461287008).

Almost surely, 2^13742493765 is an apocalyptic number.

13742493765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13742493765 is an abundant number, since it is smaller than the sum of its proper divisors (15779874747).

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

13742493765 is a wasteful number, since it uses less digits than its factorization.

13742493765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915290.

The product of its digits is 3810240, while the sum is 51.

The spelling of 13742493765 in words is "thirteen billion, seven hundred forty-two million, four hundred ninety-three thousand, seven hundred sixty-five".