8189010144 has 288 divisors, whose sum is σ = 28208597760. Its totient is φ = 2303997696.

The previous prime is 8189010139. The next prime is 8189010149. The reversal of 8189010144 is 4410109818.

It is an interprime number because it is at equal distance from previous prime (8189010139) and next prime (8189010149).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8189010099 and 8189010108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8189010149) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2835069 + ... + 2837955.

It is an arithmetic number, because the mean of its divisors is an integer number (97946520).

Almost surely, 2^8189010144 is an apocalyptic number.

8189010144 is a gapful number since it is divisible by the number (84) 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 8189010144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14104298880).

8189010144 is an abundant number, since it is smaller than the sum of its proper divisors (20019587616).

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

8189010144 is a wasteful number, since it uses less digits than its factorization.

8189010144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987 (or 2966 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 8189010144 is about 90493.1497075884. The cubic root of 8189010144 is about 2015.6284037325.

The spelling of 8189010144 in words is "eight billion, one hundred eighty-nine million, ten thousand, one hundred forty-four".