199084434624 has 168 divisors, whose sum is σ = 582179186160. Its totient is φ = 65029865472.

The previous prime is 199084434623. The next prime is 199084434673. The reversal of 199084434624 is 426434480991.

199084434624 is a `hidden beast` number, since 1 + 9 + 9 + 0 + 8 + 4 + 4 + 3 + 4 + 624 = 666.

It is a super-2 number, since 2×199084434624² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (199084434623) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7434892 + ... + 7461620.

Almost surely, 2^199084434624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199084434624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291089593080).

199084434624 is an abundant number, since it is smaller than the sum of its proper divisors (383094751536).

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

199084434624 is a wasteful number, since it uses less digits than its factorization.

199084434624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27007 (or 26994 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 199084434624 in words is "one hundred ninety-nine billion, eighty-four million, four hundred thirty-four thousand, six hundred twenty-four".