199478356900 has 81 divisors (see below), whose sum is σ = 440911577379. Its totient is φ = 78335328960.

The previous prime is 199478356879. The next prime is 199478356907. The reversal of 199478356900 is 9653874991.

The square root of 199478356900 is 446630.

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 105390756 + 199372966144 = 10266^2 + 446512^2 .

It is a super-2 number, since 2×199478356900² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (199478356907) 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, 263511322 + ... + 263512078.

Almost surely, 2^199478356900 is an apocalyptic number.

199478356900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

199478356900 is the 446630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199478356900

199478356900 is an abundant number, since it is smaller than the sum of its proper divisors (241433220479).

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

199478356900 is an frugal number, since it uses more digits than its factorization.

199478356900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 61.

The spelling of 199478356900 in words is "one hundred ninety-nine billion, four hundred seventy-eight million, three hundred fifty-six thousand, nine hundred".