74110806289 has 27 divisors (see below), whose sum is σ = 82328900283. Its totient is φ = 66681839952.

The previous prime is 74110806277. The next prime is 74110806293. The reversal of 74110806289 is 98260801147.

The square root of 74110806289 is 272233.

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., 10963137025 + 63147669264 = 104705^2 + 251292^2 .

It is not a de Polignac number, because 74110806289 - 2⁵ = 74110806257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (74110806589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 152178004 + ... + 152178490.

It is an arithmetic number, because the mean of its divisors is an integer number (3049218529).

Almost surely, 2^74110806289 is an apocalyptic number.

74110806289 is the 272233-rd square number.

74110806289 is the 136117-th centered octagonal number.

It is an amenable number.

74110806289 is a deficient number, since it is larger than the sum of its proper divisors (8218093994).

74110806289 is an frugal number, since it uses more digits than its factorization.

74110806289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The spelling of 74110806289 in words is "seventy-four billion, one hundred ten million, eight hundred six thousand, two hundred eighty-nine".