199385432064 has 900 divisors, whose sum is σ = 742973113344. Its totient is φ = 52171112448.

The previous prime is 199385432063. The next prime is 199385432111. The reversal of 199385432064 is 460234583991.

199385432064 is a `hidden beast` number, since 1 + 9 + 9 + 38 + 543 + 2 + 0 + 64 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 199385432064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199385432063) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1569963969 + ... + 1569964095.

Almost surely, 2^199385432064 is an apocalyptic number.

199385432064 is a gapful number since it is divisible by the number (14) 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 199385432064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371486556672).

199385432064 is an abundant number, since it is smaller than the sum of its proper divisors (543587681280).

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

199385432064 is an equidigital number, since it uses as much as digits as its factorization.

199385432064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 199385432064 in words is "one hundred ninety-nine billion, three hundred eighty-five million, four hundred thirty-two thousand, sixty-four".