194338237275625 has 45 divisors (see below), whose sum is σ = 245317707415209. Its totient is φ = 153903396000000.

The previous prime is 194338237275601. The next prime is 194338237275629. The reversal of 194338237275625 is 526572732833491.

The square root of 194338237275625 is 13940525.

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

It can be written as a sum of positive squares in 22 ways, for example, as 193215476638809 + 1122760636816 = 13900197^2 + 1059604^2 .

It is not a de Polignac number, because 194338237275625 - 2¹⁵ = 194338237242857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (194338237275629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 35199822865 + ... + 35199828385.

Almost surely, 2^{194338237275625} is an apocalyptic number.

194338237275625 is the 13940525-th square number.

194338237275625 is the 6970263-rd centered octagonal number.

It is an amenable number.

194338237275625 is a deficient number, since it is larger than the sum of its proper divisors (50979470139584).

194338237275625 is an frugal number, since it uses more digits than its factorization.

194338237275625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11264 (or 5627 counting only the distinct ones).

The product of its digits is 457228800, while the sum is 67.

The spelling of 194338237275625 in words is "one hundred ninety-four trillion, three hundred thirty-eight billion, two hundred thirty-seven million, two hundred seventy-five thousand, six hundred twenty-five".