74138032089 has 81 divisors (see below), whose sum is σ = 121520812959. Its totient is φ = 43521714720.

The previous prime is 74138032079. The next prime is 74138032097. The reversal of 74138032089 is 98023083147.

The square root of 74138032089 is 272283.

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

It can be written as a sum of positive squares in only one way, i.e., 66339729225 + 7798302864 = 257565^2 + 88308^2 .

It is not a de Polignac number, because 74138032089 - 2¹¹ = 74138030041 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (74138032079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 332457432 + ... + 332457654.

Almost surely, 2^74138032089 is an apocalyptic number.

74138032089 is the 272283-rd square number.

74138032089 is the 136142-nd centered octagonal number.

It is an amenable number.

74138032089 is a deficient number, since it is larger than the sum of its proper divisors (47382780870).

74138032089 is a wasteful number, since it uses less digits than its factorization.

74138032089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 74138032089 in words is "seventy-four billion, one hundred thirty-eight million, thirty-two thousand, eighty-nine".