199298272228416 has 567 divisors, whose sum is σ = 611892684937989. Its totient is φ = 62011330735104.

The previous prime is 199298272228411. The next prime is 199298272228421. The reversal of 199298272228416 is 614822272892991.

The square root of 199298272228416 is 14117304.

It is a perfect power (a square), and thus also a powerful number.

199298272228416 is a `hidden beast` number, since 1 + 9 + 9 + 2 + 98 + 272 + 228 + 41 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (199298272228411) and next prime (199298272228421).

It can be written as a sum of positive squares in only one way, i.e., 108330627240000 + 90967644988416 = 10408200^2 + 9537696^2 .

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

It is not an unprimeable number, because it can be changed into a prime (199298272228411) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 534311721606 + ... + 534311721978.

Almost surely, 2^{199298272228416} is an apocalyptic number.

199298272228416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

199298272228416 is the 14117304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199298272228416

199298272228416 is an abundant number, since it is smaller than the sum of its proper divisors (412594412709573).

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

199298272228416 is an frugal number, since it uses more digits than its factorization.

199298272228416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 480 counting only the distinct ones).

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

The spelling of 199298272228416 in words is "one hundred ninety-nine trillion, two hundred ninety-eight billion, two hundred seventy-two million, two hundred twenty-eight thousand, four hundred sixteen".