1018731168 has 360 divisors, whose sum is σ = 3759389172. Its totient is φ = 268240896.

The previous prime is 1018731167. The next prime is 1018731187. The reversal of 1018731168 is 8611378101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 782432784 + 236298384 = 27972^2 + 15372^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1018731163) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1650796 + ... + 1651412.

Almost surely, 2^1018731168 is an apocalyptic number.

1018731168 is a gapful number since it is divisible by the number (18) 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 1018731168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1879694586).

1018731168 is an abundant number, since it is smaller than the sum of its proper divisors (2740658004).

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

1018731168 is a wasteful number, since it uses less digits than its factorization.

1018731168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 1018731168 is about 31917.5683284300. The cubic root of 1018731168 is about 1006.2051392729.

It can be divided in two parts, 101873 and 1168, that added together give a square (103041 = 321²).

The spelling of 1018731168 in words is "one billion, eighteen million, seven hundred thirty-one thousand, one hundred sixty-eight".