1161234144 has 360 divisors, whose sum is σ = 4087879488. Its totient is φ = 322237440.

The previous prime is 1161234133. The next prime is 1161234167. The reversal of 1161234144 is 4414321611.

1161234144 is a `hidden beast` number, since 1 + 1 + 612 + 3 + 4 + 1 + 44 = 666.

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.

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 5207217 + ... + 5207439.

Almost surely, 2^1161234144 is an apocalyptic number.

1161234144 is a gapful number since it is divisible by the number (14) 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 1161234144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043939744).

1161234144 is an abundant number, since it is smaller than the sum of its proper divisors (2926645344).

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

1161234144 is a wasteful number, since it uses less digits than its factorization.

1161234144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 276 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 1161234144 is about 34076.8857732041. The cubic root of 1161234144 is about 1051.0900679435.

Adding to 1161234144 its reverse (4414321611), we get a palindrome (5575555755).

The spelling of 1161234144 in words is "one billion, one hundred sixty-one million, two hundred thirty-four thousand, one hundred forty-four".