191144313728 has 128 divisors (see below), whose sum is σ = 411963148800. Its totient is φ = 88069273600.

The previous prime is 191144313709. The next prime is 191144313739. The reversal of 191144313728 is 827313441191.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×191144313728² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42941903 + ... + 42946353.

It is an arithmetic number, because the mean of its divisors is an integer number (3218462100).

Almost surely, 2^191144313728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 191144313728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205981574400).

191144313728 is an abundant number, since it is smaller than the sum of its proper divisors (220818835072).

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

191144313728 is a wasteful number, since it uses less digits than its factorization.

191144313728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5020 (or 5008 counting only the distinct ones).

The product of its digits is 145152, while the sum is 44.

The spelling of 191144313728 in words is "one hundred ninety-one billion, one hundred forty-four million, three hundred thirteen thousand, seven hundred twenty-eight".