13382118945 has 160 divisors (see below), whose sum is σ = 27047623680. Its totient is φ = 6285911040.

The previous prime is 13382118859. The next prime is 13382118961. The reversal of 13382118945 is 54981128331.

13382118945 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13382118945 - 2⁹ = 13382118433 is a prime.

It is a super-2 number, since 2×13382118945² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13382118945.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10144996 + ... + 10146314.

It is an arithmetic number, because the mean of its divisors is an integer number (169047648).

Almost surely, 2^13382118945 is an apocalyptic number.

13382118945 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13382118945 is an abundant number, since it is smaller than the sum of its proper divisors (13665504735).

13382118945 is a wasteful number, since it uses less digits than its factorization.

13382118945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1428 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 13382118945 in words is "thirteen billion, three hundred eighty-two million, one hundred eighteen thousand, nine hundred forty-five".