194805330023824 has 135 divisors (see below), whose sum is σ = 411876912451329. Its totient is φ = 89217090218880.

The previous prime is 194805330023807. The next prime is 194805330023833. The reversal of 194805330023824 is 428320033508491.

It is a happy number.

The square root of 194805330023824 is 13957268.

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., 28817356512400 + 165987973511424 = 5368180^2 + 12883632^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 100883132139 + ... + 100883134069.

Almost surely, 2^{194805330023824} is an apocalyptic number.

194805330023824 is the 13957268-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 194805330023824

194805330023824 is an abundant number, since it is smaller than the sum of its proper divisors (217071582427505).

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

194805330023824 is an frugal number, since it uses more digits than its factorization.

194805330023824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4174 (or 2085 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 52.

The spelling of 194805330023824 in words is "one hundred ninety-four trillion, eight hundred five billion, three hundred thirty million, twenty-three thousand, eight hundred twenty-four".