66125444 has 96 divisors (see below), whose sum is σ = 155748096. Its totient is φ = 23777280.

The previous prime is 66125441. The next prime is 66125447. The reversal of 66125444 is 44452166.

It is an interprime number because it is at equal distance from previous prime (66125441) and next prime (66125447).

It is a super-3 number, since 3×66125444³ (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 66125444.

It is not an unprimeable number, because it can be changed into a prime (66125441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382142 + ... + 382314.

It is an arithmetic number, because the mean of its divisors is an integer number (1622376).

Almost surely, 2^66125444 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 66125444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77874048).

66125444 is an abundant number, since it is smaller than the sum of its proper divisors (89622652).

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

66125444 is a wasteful number, since it uses less digits than its factorization.

66125444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 283 counting only the distinct ones).

The product of its digits is 23040, while the sum is 32.

The square root of 66125444 is about 8131.7552840700. The cubic root of 66125444 is about 404.3798750275.

The spelling of 66125444 in words is "sixty-six million, one hundred twenty-five thousand, four hundred forty-four".