194311444510096 has 45 divisors (see below), whose sum is σ = 393561327770401. Its totient is φ = 92930947077056.

The previous prime is 194311444510093. The next prime is 194311444510097. The reversal of 194311444510096 is 690015444113491.

The square root of 194311444510096 is 13939564.

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., 193307312250000 + 1004132260096 = 13903500^2 + 1002064^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (194311444510093) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1282364130 + ... + 1282515646.

Almost surely, 2^{194311444510096} is an apocalyptic number.

194311444510096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

194311444510096 is the 13939564-th square number.

It is an amenable number.

194311444510096 is an abundant number, since it is smaller than the sum of its proper divisors (199249883260305).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

194311444510096 is an frugal number, since it uses more digits than its factorization.

194311444510096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303088 (or 151542 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 52.

The spelling of 194311444510096 in words is "one hundred ninety-four trillion, three hundred eleven billion, four hundred forty-four million, five hundred ten thousand, ninety-six".