1141116636 has 72 divisors (see below), whose sum is σ = 3098889360. Its totient is φ = 325445120.

The previous prime is 1141116607. The next prime is 1141116643. The reversal of 1141116636 is 6366111411.

It is a super-3 number, since 3×1141116636³ (a number of 28 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1570 + ... + 47798.

It is an arithmetic number, because the mean of its divisors is an integer number (43040130).

Almost surely, 2^1141116636 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 1141116636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1549444680).

1141116636 is an abundant number, since it is smaller than the sum of its proper divisors (1957772724).

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

1141116636 is a wasteful number, since it uses less digits than its factorization.

1141116636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46275 (or 46262 counting only the distinct ones).

The product of its digits is 2592, while the sum is 30.

The square root of 1141116636 is about 33780.4179370238. The cubic root of 1141116636 is about 1044.9848935951.

The spelling of 1141116636 in words is "one billion, one hundred forty-one million, one hundred sixteen thousand, six hundred thirty-six".