199748504900 has 108 divisors (see below), whose sum is σ = 507010307076. Its totient is φ = 68106528000.

The previous prime is 199748504849. The next prime is 199748504903. The reversal of 199748504900 is 9405847991.

It can be written as a sum of positive squares in 6 ways, for example, as 66885338884 + 132863166016 = 258622^2 + 364504^2 .

It is not an unprimeable number, because it can be changed into a prime (199748504903) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 774290 + ... + 999510.

Almost surely, 2^199748504900 is an apocalyptic number.

199748504900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199748504900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253505153538).

199748504900 is an abundant number, since it is smaller than the sum of its proper divisors (307261802176).

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

199748504900 is a wasteful number, since it uses less digits than its factorization.

199748504900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225430 (or 225416 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 56.

The spelling of 199748504900 in words is "one hundred ninety-nine billion, seven hundred forty-eight million, five hundred four thousand, nine hundred".