74560125249 has 9 divisors (see below), whose sum is σ = 107699141953. Its totient is φ = 49706204052.

The previous prime is 74560125247. The next prime is 74560125331. The reversal of 74560125249 is 94252106547.

The square root of 74560125249 is 273057.

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

74560125249 is a `hidden beast` number, since 74 + 56 + 0 + 1 + 2 + 524 + 9 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 74560125249 - 2¹ = 74560125247 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (74560125247) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 773662 + ... + 864680.

Almost surely, 2^74560125249 is an apocalyptic number.

74560125249 is the 273057-th square number.

74560125249 is the 136529-th centered octagonal number.

It is an amenable number.

74560125249 is a deficient number, since it is larger than the sum of its proper divisors (33139016704).

74560125249 is an frugal number, since it uses more digits than its factorization.

74560125249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182044 (or 91022 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

It can be divided in two parts, 74560 and 125249, that added together give a square (199809 = 447²).

The spelling of 74560125249 in words is "seventy-four billion, five hundred sixty million, one hundred twenty-five thousand, two hundred forty-nine".