66353144 has 64 divisors (see below), whose sum is σ = 150958080. Its totient is φ = 26928000.

The previous prime is 66353117. The next prime is 66353153. The reversal of 66353144 is 44135366.

It is a super-3 number, since 3×66353144³ (a number of 24 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 66353144.

It is a congruent number.

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, 34529 + ... + 36399.

It is an arithmetic number, because the mean of its divisors is an integer number (2358720).

Almost surely, 2^66353144 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 66353144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75479040).

66353144 is an abundant number, since it is smaller than the sum of its proper divisors (84604936).

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

66353144 is a wasteful number, since it uses less digits than its factorization.

66353144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 1928 counting only the distinct ones).

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

The square root of 66353144 is about 8145.7439193729. The cubic root of 66353144 is about 404.8434979322.

It can be divided in two parts, 6635 and 3144, that added together give a palindrome (9779).

The spelling of 66353144 in words is "sixty-six million, three hundred fifty-three thousand, one hundred forty-four".