1018082016 has 216 divisors, whose sum is σ = 3546040680. Its totient is φ = 275498496.

The previous prime is 1018082003. The next prime is 1018082041. The reversal of 1018082016 is 6102808101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 266230 + ... + 270026.

It is an arithmetic number, because the mean of its divisors is an integer number (16416855).

Almost surely, 2^1018082016 is an apocalyptic number.

1018082016 is a gapful number since it is divisible by the number (16) 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 1018082016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773020340).

1018082016 is an abundant number, since it is smaller than the sum of its proper divisors (2527958664).

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

1018082016 is a wasteful number, since it uses less digits than its factorization.

1018082016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3846 (or 3828 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 1018082016 is about 31907.3975121758. The cubic root of 1018082016 is about 1005.9913704569.

The spelling of 1018082016 in words is "one billion, eighteen million, eighty-two thousand, sixteen".