1018512144 has 160 divisors (see below), whose sum is σ = 3188684800. Its totient is φ = 313248384.

The previous prime is 1018512127. The next prime is 1018512163. The reversal of 1018512144 is 4412158101.

It is a happy number.

1018512144 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 512 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 453777 + ... + 456015.

It is an arithmetic number, because the mean of its divisors is an integer number (19929280).

Almost surely, 2^1018512144 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 1018512144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1594342400).

1018512144 is an abundant number, since it is smaller than the sum of its proper divisors (2170172656).

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

1018512144 is an equidigital number, since it uses as much as digits as its factorization.

1018512144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2281 (or 2257 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 1018512144 is about 31914.1370555433. The cubic root of 1018512144 is about 1006.1330237900.

The spelling of 1018512144 in words is "one billion, eighteen million, five hundred twelve thousand, one hundred forty-four".