13766345112 has 128 divisors (see below), whose sum is σ = 38817999360. Its totient is φ = 4036623360.

The previous prime is 13766345093. The next prime is 13766345179. The reversal of 13766345112 is 21154366731.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2013043 + ... + 2019869.

It is an arithmetic number, because the mean of its divisors is an integer number (303265620).

Almost surely, 2^13766345112 is an apocalyptic number.

13766345112 is a gapful number since it is divisible by the number (12) 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 13766345112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19408999680).

13766345112 is an abundant number, since it is smaller than the sum of its proper divisors (25051654248).

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

13766345112 is a wasteful number, since it uses less digits than its factorization.

13766345112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7153 (or 7149 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The spelling of 13766345112 in words is "thirteen billion, seven hundred sixty-six million, three hundred forty-five thousand, one hundred twelve".