1123266816 has 216 divisors, whose sum is σ = 3729433344. Its totient is φ = 318504960.

The previous prime is 1123266761. The next prime is 1123266817. The reversal of 1123266816 is 6186623211.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123266817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4144761 + ... + 4145031.

Almost surely, 2^1123266816 is an apocalyptic number.

1123266816 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 1123266816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864716672).

1123266816 is an abundant number, since it is smaller than the sum of its proper divisors (2606166528).

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

1123266816 is a wasteful number, since it uses less digits than its factorization.

1123266816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 540 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 1123266816 is about 33515.1729221259. The cubic root of 1123266816 is about 1039.5075380488.

The spelling of 1123266816 in words is "one billion, one hundred twenty-three million, two hundred sixty-six thousand, eight hundred sixteen".