1865634144 has 144 divisors (see below), whose sum is σ = 5617817856. Its totient is φ = 540686080.

The previous prime is 1865634107. The next prime is 1865634203. The reversal of 1865634144 is 4414365681.

It is a super-2 number, since 2×1865634144² = 6961181518517225472, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1865634096 and 1865634105.

It is a congruent number.

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, 263677 + ... + 270659.

It is an arithmetic number, because the mean of its divisors is an integer number (39012624).

Almost surely, 2^1865634144 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 1865634144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2808908928).

1865634144 is an abundant number, since it is smaller than the sum of its proper divisors (3752183712).

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

1865634144 is a wasteful number, since it uses less digits than its factorization.

1865634144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7041 (or 7022 counting only the distinct ones).

The product of its digits is 276480, while the sum is 42.

The square root of 1865634144 is about 43192.9872085736. The cubic root of 1865634144 is about 1231.0494368392.

The spelling of 1865634144 in words is "one billion, eight hundred sixty-five million, six hundred thirty-four thousand, one hundred forty-four".