1822581144 has 96 divisors (see below), whose sum is σ = 5089003920. Its totient is φ = 588930048.

The previous prime is 1822581139. The next prime is 1822581149. The reversal of 1822581144 is 4411852281.

1822581144 is a `hidden beast` number, since 18 + 22 + 581 + 1 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (1822581139) and next prime (1822581149).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1822581099 and 1822581108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1822581149) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 422004 + ... + 426300.

Almost surely, 2^1822581144 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 1822581144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2544501960).

1822581144 is an abundant number, since it is smaller than the sum of its proper divisors (3266422776).

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

1822581144 is a wasteful number, since it uses less digits than its factorization.

1822581144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4489 (or 4482 counting only the distinct ones).

The product of its digits is 20480, while the sum is 36.

The square root of 1822581144 is about 42691.6987715411. The cubic root of 1822581144 is about 1221.5060554870.

The spelling of 1822581144 in words is "one billion, eight hundred twenty-two million, five hundred eighty-one thousand, one hundred forty-four".