66146544 has 140 divisors (see below), whose sum is σ = 197605656. Its totient is φ = 21430656.

The previous prime is 66146539. The next prime is 66146567. The reversal of 66146544 is 44564166.

66146544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 66146499 and 66146508.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 618139 + ... + 618245.

Almost surely, 2^66146544 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 66146544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98802828).

66146544 is an abundant number, since it is smaller than the sum of its proper divisors (131459112).

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

66146544 is a wasteful number, since it uses less digits than its factorization.

66146544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 165 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 66146544 is about 8133.0525634598. The cubic root of 66146544 is about 404.4228817103.

The spelling of 66146544 in words is "sixty-six million, one hundred forty-six thousand, five hundred forty-four".