8182190016 has 672 divisors, whose sum is σ = 32911377408. Its totient is φ = 1873428480.

The previous prime is 8182189999. The next prime is 8182190021. The reversal of 8182190016 is 6100912818.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13260940 + ... + 13261556.

It is an arithmetic number, because the mean of its divisors is an integer number (48975264).

Almost surely, 2^8182190016 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 8182190016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16455688704).

8182190016 is an abundant number, since it is smaller than the sum of its proper divisors (24729187392).

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

8182190016 is a wasteful number, since it uses less digits than its factorization.

8182190016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 8182190016 is about 90455.4587407526. The cubic root of 8182190016 is about 2015.0686835896.

The spelling of 8182190016 in words is "eight billion, one hundred eighty-two million, one hundred ninety thousand, sixteen".