194131884816 has 75 divisors (see below), whose sum is σ = 561919909111. Its totient is φ = 64705341024.

The previous prime is 194131884787. The next prime is 194131884847. The reversal of 194131884816 is 618488131491.

The square root of 194131884816 is 440604.

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

194131884816 is a `hidden beast` number, since 1 + 9 + 413 + 188 + 48 + 1 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 15855625 + ... + 15867863.

Almost surely, 2^194131884816 is an apocalyptic number.

194131884816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

194131884816 is the 440604-th square number.

It is an amenable number.

194131884816 is an abundant number, since it is smaller than the sum of its proper divisors (367788024295).

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

194131884816 is an frugal number, since it uses more digits than its factorization.

194131884816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24498 (or 12244 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 54.

The spelling of 194131884816 in words is "one hundred ninety-four billion, one hundred thirty-one million, eight hundred eighty-four thousand, eight hundred sixteen".