19816192900 has 81 divisors (see below), whose sum is σ = 50046619077. Its totient is φ = 6790744800.

The previous prime is 19816192871. The next prime is 19816192901. The reversal of 19816192900 is 929161891.

The square root of 19816192900 is 140770.

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

It can be written as a sum of positive squares in only one way, i.e., 7133829444 + 12682363456 = 84462^2 + 112616^2 .

It is a super-4 number, since 4×19816192900⁴ (a number of 42 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (19816192901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 9852895 + ... + 9854905.

Almost surely, 2^19816192900 is an apocalyptic number.

19816192900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19816192900 is the 140770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19816192900

19816192900 is an abundant number, since it is smaller than the sum of its proper divisors (30230426177).

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

19816192900 is an equidigital number, since it uses as much as digits as its factorization.

19816192900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4050 (or 2025 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 46.

The spelling of 19816192900 in words is "nineteen billion, eight hundred sixteen million, one hundred ninety-two thousand, nine hundred".