1121164416 has 160 divisors (see below), whose sum is σ = 3533391180. Its totient is φ = 351682560.

The previous prime is 1121164411. The next prime is 1121164423. The reversal of 1121164416 is 6144611211.

1121164416 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 1 + 644 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1120910400 + 254016 = 33480^2 + 504^2 .

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1121164416.

It is not an unprimeable number, because it can be changed into a prime (1121164411) 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, 173076 + ... + 179436.

Almost surely, 2^1121164416 is an apocalyptic number.

1121164416 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 1121164416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766695590).

1121164416 is an abundant number, since it is smaller than the sum of its proper divisors (2412226764).

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

1121164416 is an equidigital number, since it uses as much as digits as its factorization.

1121164416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6404 (or 6383 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 1121164416 is about 33483.7933334920. The cubic root of 1121164416 is about 1038.8585899588.

Adding to 1121164416 its reverse (6144611211), we get a palindrome (7265775627).

The spelling of 1121164416 in words is "one billion, one hundred twenty-one million, one hundred sixty-four thousand, four hundred sixteen".