13374049104 has 160 divisors (see below), whose sum is σ = 41397350400. Its totient is φ = 4109529600.

The previous prime is 13374049093. The next prime is 13374049133. The reversal of 13374049104 is 40194047331.

13374049104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 6462982 + ... + 6465050.

It is an arithmetic number, because the mean of its divisors is an integer number (258733440).

Almost surely, 2^13374049104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13374049104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20698675200).

13374049104 is an abundant number, since it is smaller than the sum of its proper divisors (28023301296).

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

13374049104 is a wasteful number, since it uses less digits than its factorization.

13374049104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3250 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 13374049104 in words is "thirteen billion, three hundred seventy-four million, forty-nine thousand, one hundred four".