199931496768 has 168 divisors, whose sum is σ = 583221099240. Its totient is φ = 65472675840.

The previous prime is 199931496757. The next prime is 199931496823. The reversal of 199931496768 is 867694139991.

It is a happy number.

199931496768 is a `hidden beast` number, since 19 + 99 + 31 + 496 + 7 + 6 + 8 = 666.

It is a Cunningham number, because it is equal to 447137²-1.

It can be written as a sum of positive squares in 4 ways, for example, as 4008409344 + 195923087424 = 63312^2 + 442632^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 199931496696 and 199931496705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8036028 + ... + 8060868.

Almost surely, 2^199931496768 is an apocalyptic number.

199931496768 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 199931496768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291610549620).

199931496768 is an abundant number, since it is smaller than the sum of its proper divisors (383289602472).

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

199931496768 is a wasteful number, since it uses less digits than its factorization.

199931496768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25105 (or 25092 counting only the distinct ones).

The product of its digits is 158723712, while the sum is 72.

The spelling of 199931496768 in words is "one hundred ninety-nine billion, nine hundred thirty-one million, four hundred ninety-six thousand, seven hundred sixty-eight".