8284149016 has 128 divisors (see below), whose sum is σ = 19116518400. Its totient is φ = 3311700480.

The previous prime is 8284149007. The next prime is 8284149023. The reversal of 8284149016 is 6109414828.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9445570 + ... + 9446446.

It is an arithmetic number, because the mean of its divisors is an integer number (149347800).

Almost surely, 2^8284149016 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 8284149016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9558259200).

8284149016 is an abundant number, since it is smaller than the sum of its proper divisors (10832369384).

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

8284149016 is a wasteful number, since it uses less digits than its factorization.

8284149016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1285 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 43.

The square root of 8284149016 is about 91017.3006411418. The cubic root of 8284149016 is about 2023.4041394854.

The spelling of 8284149016 in words is "eight billion, two hundred eighty-four million, one hundred forty-nine thousand, sixteen".