6323531144 has 48 divisors (see below), whose sum is σ = 13825517580. Its totient is φ = 2703576960.

The previous prime is 6323531131. The next prime is 6323531167. The reversal of 6323531144 is 4411353236.

It can be written as a sum of positive squares in 2 ways, for example, as 5832376900 + 491154244 = 76370^2 + 22162^2 .

It is a super-2 number, since 2×6323531144² = 79974092258275897472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6323531144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 145874 + ... + 184190.

Almost surely, 2^6323531144 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 6323531144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6912758790).

6323531144 is an abundant number, since it is smaller than the sum of its proper divisors (7501986436).

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

6323531144 is a wasteful number, since it uses less digits than its factorization.

6323531144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38758 (or 38747 counting only the distinct ones).

The product of its digits is 25920, while the sum is 32.

The square root of 6323531144 is about 79520.6334481812. The cubic root of 6323531144 is about 1849.2113652493.

The spelling of 6323531144 in words is "six billion, three hundred twenty-three million, five hundred thirty-one thousand, one hundred forty-four".