1018140816 has 480 divisors, whose sum is σ = 3664051200. Its totient is φ = 240092160.

The previous prime is 1018140749. The next prime is 1018140817. The reversal of 1018140816 is 6180418101.

1018140816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1018140816² = 2073221442410291712, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1018140817) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17256595 + ... + 17256653.

It is an arithmetic number, because the mean of its divisors is an integer number (7633440).

Almost surely, 2^1018140816 is an apocalyptic number.

1018140816 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 1018140816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832025600).

1018140816 is an abundant number, since it is smaller than the sum of its proper divisors (2645910384).

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

1018140816 is a wasteful number, since it uses less digits than its factorization.

1018140816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 30.

The square root of 1018140816 is about 31908.3189152923. The cubic root of 1018140816 is about 1006.0107373163.

Adding to 1018140816 its reverse (6180418101), we get a palindrome (7198558917).

The spelling of 1018140816 in words is "one billion, eighteen million, one hundred forty thousand, eight hundred sixteen".