199338152832 has 1728 divisors, whose sum is σ = 829482217200. Its totient is φ = 45259554816.

The previous prime is 199338152801. The next prime is 199338152869. The reversal of 199338152832 is 238251833991.

199338152832 is a `hidden beast` number, since 1 + 9 + 9 + 3 + 3 + 81 + 528 + 32 = 666.

199338152832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (2799360) is a multiple of the sum of its prime divisors (90).

It is a congruent number.

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 6873729394 + ... + 6873729422.

Almost surely, 2^199338152832 is an apocalyptic number.

199338152832 is a gapful number since it is divisible by the number (12) 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 199338152832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414741108600).

199338152832 is an abundant number, since it is smaller than the sum of its proper divisors (630144064368).

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

199338152832 is a wasteful number, since it uses less digits than its factorization.

199338152832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 90 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The spelling of 199338152832 in words is "one hundred ninety-nine billion, three hundred thirty-eight million, one hundred fifty-two thousand, eight hundred thirty-two".