74128673259601 has 9 divisors (see below), whose sum is σ = 74815939262001. Its totient is φ = 73447663829904.

The previous prime is 74128673259587. The next prime is 74128673259649. The reversal of 74128673259601 is 10695237682147.

The square root of 74128673259601 is 8609801.

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

It can be written as a sum of positive squares in 4 ways, for example, as 21731922386001 + 52396750873600 = 4661751^2 + 7238560^2 .

It is not a de Polignac number, because 74128673259601 - 2⁵ = 74128673259569 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 74128673259601.

It is not an unprimeable number, because it can be changed into a prime (74128673259661) 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, 938428815 + ... + 938507803.

It is a 2-persistent number, because it is pandigital, and so is 2⋅74128673259601 = 148257346519202, but 3⋅74128673259601 = 222386019778803 is not.

Almost surely, 2^{74128673259601} is an apocalyptic number.

74128673259601 is the 8609801-st square number.

74128673259601 is the 4304901-st centered octagonal number.

It is an amenable number.

74128673259601 is a deficient number, since it is larger than the sum of its proper divisors (687266002400).

74128673259601 is an frugal number, since it uses more digits than its factorization.

74128673259601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158196 (or 79098 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 61.

The spelling of 74128673259601 in words is "seventy-four trillion, one hundred twenty-eight billion, six hundred seventy-three million, two hundred fifty-nine thousand, six hundred one".