199225707676128 has 432 divisors, whose sum is σ = 692114549948640. Its totient is φ = 53185935882240.

The previous prime is 199225707676103. The next prime is 199225707676169. The reversal of 199225707676128 is 821676707522991.

199225707676128 is a `hidden beast` number, since 1 + 9 + 9 + 22 + 570 + 7 + 6 + 7 + 6 + 1 + 28 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54410926 + ... + 57956882.

It is an arithmetic number, because the mean of its divisors is an integer number (1602117013770).

Almost surely, 2^{199225707676128} is an apocalyptic number.

199225707676128 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 199225707676128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346057274974320).

199225707676128 is an abundant number, since it is smaller than the sum of its proper divisors (492888842272512).

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

199225707676128 is a wasteful number, since it uses less digits than its factorization.

199225707676128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3546071 (or 3546029 counting only the distinct ones).

The product of its (nonzero) digits is 320060160, while the sum is 72.

The spelling of 199225707676128 in words is "one hundred ninety-nine trillion, two hundred twenty-five billion, seven hundred seven million, six hundred seventy-six thousand, one hundred twenty-eight".