13874331645 has 42 divisors (see below), whose sum is σ = 24975178974. Its totient is φ = 7395850800.

The previous prime is 13874331631. The next prime is 13874331649. The reversal of 13874331645 is 54613347831.

It can be written as a sum of positive squares in only one way, i.e., 11099465316 + 2774866329 = 105354^2 + 52677^2 .

It is not a de Polignac number, because 13874331645 - 2⁵ = 13874331613 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 13874331645.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13874331649) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 7110420 + ... + 7112370.

Almost surely, 2^13874331645 is an apocalyptic number.

13874331645 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13874331645 is a deficient number, since it is larger than the sum of its proper divisors (11100847329).

13874331645 is an frugal number, since it uses more digits than its factorization.

13874331645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3925 (or 1959 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

Multiplying 13874331645 by its sum of digits (45), we get a square (624344924025 = 790155²).

13874331645 divided by its sum of digits (45) gives a square (308318481 = 17559²).

The spelling of 13874331645 in words is "thirteen billion, eight hundred seventy-four million, three hundred thirty-one thousand, six hundred forty-five".