199112288400 has 675 divisors, whose sum is σ = 745558771419. Its totient is φ = 50890498560.

The previous prime is 199112288383. The next prime is 199112288407. The reversal of 199112288400 is 4882211991.

The square root of 199112288400 is 446220.

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

199112288400 is a `hidden beast` number, since 1 + 9 + 9 + 11 + 228 + 8 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18901850256 + 180210438144 = 137484^2 + 424512^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (199112288407) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2971825167 + ... + 2971825233.

Almost surely, 2^199112288400 is an apocalyptic number.

199112288400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

199112288400 is the 446220-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199112288400

199112288400 is an abundant number, since it is smaller than the sum of its proper divisors (546446483019).

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

199112288400 is an equidigital number, since it uses as much as digits as its factorization.

199112288400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 199112288400 in words is "one hundred ninety-nine billion, one hundred twelve million, two hundred eighty-eight thousand, four hundred".