191893648800 has 144 divisors (see below), whose sum is σ = 713844436032. Its totient is φ = 43861401600.

The previous prime is 191893648721. The next prime is 191893648801. The reversal of 191893648800 is 8846398191.

It is not an unprimeable number, because it can be changed into a prime (191893648801) 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 23 ways as a sum of consecutive naturals, for example, 5694321 + ... + 5727920.

It is an arithmetic number, because the mean of its divisors is an integer number (4957253028).

Almost surely, 2^191893648800 is an apocalyptic number.

191893648800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

191893648800 is an abundant number, since it is smaller than the sum of its proper divisors (521950787232).

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

191893648800 is a wasteful number, since it uses less digits than its factorization.

191893648800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11422271 (or 11422258 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 57.

The spelling of 191893648800 in words is "one hundred ninety-one billion, eight hundred ninety-three million, six hundred forty-eight thousand, eight hundred".