199834226496 has 196 divisors, whose sum is σ = 595760709924. Its totient is φ = 66475468800.

The previous prime is 199834226453. The next prime is 199834226519. The reversal of 199834226496 is 694622438991.

199834226496 is a `hidden beast` number, since 1 + 9 + 9 + 83 + 42 + 26 + 496 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 131525176896 + 68309049600 = 362664^2 + 261360^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 24303666 + ... + 24311886.

Almost surely, 2^199834226496 is an apocalyptic number.

199834226496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199834226496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297880354962).

199834226496 is an abundant number, since it is smaller than the sum of its proper divisors (395926483428).

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

199834226496 is an frugal number, since it uses more digits than its factorization.

199834226496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8772 (or 8747 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 63.

The spelling of 199834226496 in words is "one hundred ninety-nine billion, eight hundred thirty-four million, two hundred twenty-six thousand, four hundred ninety-six".