195249096900 has 729 divisors, whose sum is σ = 735557997447. Its totient is φ = 43267910400.

The previous prime is 195249096871. The next prime is 195249096907. The reversal of 195249096900 is 9690942591.

The square root of 195249096900 is 441870.

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

195249096900 is a `hidden beast` number, since 1 + 95 + 2 + 490 + 9 + 69 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 50325743556 + 144923353344 = 224334^2 + 380688^2 .

It is a super-2 number, since 2×195249096900² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (195249096907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 1895622249 + ... + 1895622351.

Almost surely, 2^195249096900 is an apocalyptic number.

195249096900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

195249096900 is the 441870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195249096900

195249096900 is an abundant number, since it is smaller than the sum of its proper divisors (540308900547).

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

195249096900 is a wasteful number, since it uses less digits than its factorization.

195249096900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 195249096900 in words is "one hundred ninety-five billion, two hundred forty-nine million, ninety-six thousand, nine hundred".