8201890144 has 48 divisors (see below), whose sum is σ = 18463316256. Its totient is φ = 3513369600.

The previous prime is 8201890139. The next prime is 8201890199. The reversal of 8201890144 is 4410981028.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 516564 + ... + 532204.

It is an arithmetic number, because the mean of its divisors is an integer number (384652422).

Almost surely, 2^8201890144 is an apocalyptic number.

It is an amenable number.

8201890144 is an abundant number, since it is smaller than the sum of its proper divisors (10261426112).

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

8201890144 is a wasteful number, since it uses less digits than its factorization.

8201890144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17999 (or 17991 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 8201890144 is about 90564.2873543429. The cubic root of 8201890144 is about 2016.6846036183.

The spelling of 8201890144 in words is "eight billion, two hundred one million, eight hundred ninety thousand, one hundred forty-four".