190814269200 has 120 divisors (see below), whose sum is σ = 611451825888. Its totient is φ = 50866314240.

The previous prime is 190814269199. The next prime is 190814269213. The reversal of 190814269200 is 2962418091.

190814269200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3673812 + ... + 3725388.

Almost surely, 2^190814269200 is an apocalyptic number.

190814269200 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 190814269200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305725912944).

190814269200 is an abundant number, since it is smaller than the sum of its proper divisors (420637556688).

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

190814269200 is a wasteful number, since it uses less digits than its factorization.

190814269200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54681 (or 54670 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The spelling of 190814269200 in words is "one hundred ninety billion, eight hundred fourteen million, two hundred sixty-nine thousand, two hundred".