1161819144 has 96 divisors (see below), whose sum is σ = 3325015200. Its totient is φ = 365472000.

The previous prime is 1161819137. The next prime is 1161819181. The reversal of 1161819144 is 4419181611.

1161819144 is a `hidden beast` number, since 11 + 618 + 19 + 14 + 4 = 666.

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 junction number, because it is equal to n+sod(n) for n = 1161819099 and 1161819108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385644 + ... + 388644.

It is an arithmetic number, because the mean of its divisors is an integer number (34635575).

Almost surely, 2^1161819144 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 1161819144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1662507600).

1161819144 is an abundant number, since it is smaller than the sum of its proper divisors (2163196056).

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

1161819144 is a wasteful number, since it uses less digits than its factorization.

1161819144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3315 (or 3308 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The square root of 1161819144 is about 34085.4682232766. The cubic root of 1161819144 is about 1051.2665423915.

The spelling of 1161819144 in words is "one billion, one hundred sixty-one million, eight hundred nineteen thousand, one hundred forty-four".