199382738688 has 864 divisors, whose sum is σ = 723778764800. Its totient is φ = 51508224000.

The previous prime is 199382738683. The next prime is 199382738713. The reversal of 199382738688 is 886837283991.

199382738688 is a `hidden beast` number, since 1 + 9 + 93 + 82 + 7 + 386 + 88 = 666.

It is a super-2 number, since 2×199382738688² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199382738683) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1320415413 + ... + 1320415563.

Almost surely, 2^199382738688 is an apocalyptic number.

199382738688 is a gapful number since it is divisible by the number (18) 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 199382738688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361889382400).

199382738688 is an abundant number, since it is smaller than the sum of its proper divisors (524396026112).

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

199382738688 is a wasteful number, since it uses less digits than its factorization.

199382738688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 352 counting only the distinct ones).

The product of its digits is 250822656, while the sum is 72.

The spelling of 199382738688 in words is "one hundred ninety-nine billion, three hundred eighty-two million, seven hundred thirty-eight thousand, six hundred eighty-eight".