13917628729 has 3 divisors (see below), whose sum is σ = 13917746703. Its totient is φ = 13917510756.

The previous prime is 13917628723. The next prime is 13917628787. The reversal of 13917628729 is 92782671931.

It is a happy number.

The square root of 13917628729 is 117973.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 13765155625 + 152473104 = 117325^2 + 12348^2 .

It is not a de Polignac number, because 13917628729 - 2⁹ = 13917628217 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13917628729.

It is not an unprimeable number, because it can be changed into a prime (13917628723) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 58987 + ... + 176959.

It is an arithmetic number, because the mean of its divisors is an integer number (4639248901).

Almost surely, 2^13917628729 is an apocalyptic number.

13917628729 is the 117973-rd square number.

13917628729 is the 58987-th centered octagonal number.

It is an amenable number.

13917628729 is a deficient number, since it is larger than the sum of its proper divisors (117974).

13917628729 is an frugal number, since it uses more digits than its factorization.

13917628729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235946 (or 117973 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 55.

The spelling of 13917628729 in words is "thirteen billion, nine hundred seventeen million, six hundred twenty-eight thousand, seven hundred twenty-nine".