74339113104 has 45 divisors (see below), whose sum is σ = 208055424889. Its totient is φ = 24778613760.

The previous prime is 74339113019. The next prime is 74339113109. The reversal of 74339113104 is 40131193347.

It is a happy number.

The square root of 74339113104 is 272652.

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

74339113104 is a `hidden beast` number, since 7 + 4 + 339 + 1 + 1 + 310 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29327247504 + 45011865600 = 171252^2 + 212160^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (74339113109) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 3260464 + ... + 3283184.

Almost surely, 2^74339113104 is an apocalyptic number.

74339113104 is the 272652-nd square number.

It is an amenable number.

74339113104 is an abundant number, since it is smaller than the sum of its proper divisors (133716311785).

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

74339113104 is an frugal number, since it uses more digits than its factorization.

74339113104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45456 (or 22726 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

Multiplying 74339113104 by its sum of digits (36), we get a square (2676208071744 = 1635912²).

74339113104 divided by its sum of digits (36) gives a square (2064975364 = 45442²).

The spelling of 74339113104 in words is "seventy-four billion, three hundred thirty-nine million, one hundred thirteen thousand, one hundred four".