199916294400 has 891 divisors, whose sum is σ = 775905945829. Its totient is φ = 50993141760.

The previous prime is 199916294393. The next prime is 199916294443. The reversal of 199916294400 is 4492619991.

The square root of 199916294400 is 447120.

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

199916294400 is a `hidden beast` number, since 1 + 9 + 9 + 9 + 1 + 629 + 4 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 71969865984 + 127946428416 = 268272^2 + 357696^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 8692012789 + ... + 8692012811.

Almost surely, 2^199916294400 is an apocalyptic number.

199916294400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

199916294400 is the 447120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199916294400

199916294400 is an abundant number, since it is smaller than the sum of its proper divisors (575989651429).

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

199916294400 is an frugal number, since it uses more digits than its factorization.

199916294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The spelling of 199916294400 in words is "one hundred ninety-nine billion, nine hundred sixteen million, two hundred ninety-four thousand, four hundred".