199746424900 has 243 divisors, whose sum is σ = 508237217047. Its totient is φ = 68076377600.

The previous prime is 199746424897. The next prime is 199746424919. The reversal of 199746424900 is 9424647991.

The square root of 199746424900 is 446930.

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

It can be written as a sum of positive squares in 4 ways, for example, as 4672269316 + 195074155584 = 68354^2 + 441672^2 .

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 835758981 + ... + 835759219.

Almost surely, 2^199746424900 is an apocalyptic number.

199746424900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

199746424900 is the 446930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199746424900

199746424900 is an abundant number, since it is smaller than the sum of its proper divisors (308490792147).

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

199746424900 is a wasteful number, since it uses less digits than its factorization.

199746424900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 55.

The spelling of 199746424900 in words is "one hundred ninety-nine billion, seven hundred forty-six million, four hundred twenty-four thousand, nine hundred".