66331144 has 64 divisors (see below), whose sum is σ = 145411200. Its totient is φ = 28032000.

The previous prime is 66331099. The next prime is 66331151. The reversal of 66331144 is 44113366.

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150877 + ... + 151315.

It is an arithmetic number, because the mean of its divisors is an integer number (2272050).

Almost surely, 2^66331144 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 66331144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72705600).

66331144 is an abundant number, since it is smaller than the sum of its proper divisors (79080056).

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

66331144 is a wasteful number, since it uses less digits than its factorization.

66331144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 570 counting only the distinct ones).

The product of its digits is 5184, while the sum is 28.

The square root of 66331144 is about 8144.3934089655. The cubic root of 66331144 is about 404.7987497813.

It can be divided in two parts, 6633 and 1144, that added together give a palindrome (7777).

The spelling of 66331144 in words is "sixty-six million, three hundred thirty-one thousand, one hundred forty-four".