194688413580241 has 81 divisors (see below), whose sum is σ = 236297088193491. Its totient is φ = 159935772729600.

The previous prime is 194688413580233. The next prime is 194688413580259. The reversal of 194688413580241 is 142085314886491.

The square root of 194688413580241 is 13953079.

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

It can be written as a sum of positive squares in 13 ways, for example, as 165464615523025 + 29223798057216 = 12863305^2 + 5405904^2 .

It is not a de Polignac number, because 194688413580241 - 2³ = 194688413580233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (194688413580211) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 244276553655 + ... + 244276554451.

Almost surely, 2^{194688413580241} is an apocalyptic number.

194688413580241 is the 13953079-th square number.

194688413580241 is the 6976540-th centered octagonal number.

It is an amenable number.

194688413580241 is a deficient number, since it is larger than the sum of its proper divisors (41608674613250).

194688413580241 is an frugal number, since it uses more digits than its factorization.

194688413580241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 64.

The spelling of 194688413580241 in words is "one hundred ninety-four trillion, six hundred eighty-eight billion, four hundred thirteen million, five hundred eighty thousand, two hundred forty-one".