1126218816 has 140 divisors (see below), whose sum is σ = 3377359260. Its totient is φ = 371036160.

The previous prime is 1126218811. The next prime is 1126218817. The reversal of 1126218816 is 6188126211.

1126218816 is a `hidden beast` number, since 1 + 12 + 621 + 8 + 8 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 158760000 + 967458816 = 12600^2 + 31104^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1126218811) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 460156 + ... + 462596.

Almost surely, 2^1126218816 is an apocalyptic number.

1126218816 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 1126218816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688679630).

1126218816 is an abundant number, since it is smaller than the sum of its proper divisors (2251140444).

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

1126218816 is an equidigital number, since it uses as much as digits as its factorization.

1126218816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2554 (or 2535 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The square root of 1126218816 is about 33559.1837803007. The cubic root of 1126218816 is about 1040.4173669990.

The spelling of 1126218816 in words is "one billion, one hundred twenty-six million, two hundred eighteen thousand, eight hundred sixteen".