66249144 has 64 divisors (see below), whose sum is σ = 198189600. Its totient is φ = 20383488.

The previous prime is 66249109. The next prime is 66249151. The reversal of 66249144 is 44194266.

It is a super-3 number, since 3×66249144³ (a number of 24 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 66249099 and 66249108.

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, 8989 + ... + 14604.

Almost surely, 2^66249144 is an apocalyptic number.

It is an amenable number.

66249144 is an abundant number, since it is smaller than the sum of its proper divisors (131940456).

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

66249144 is a wasteful number, since it uses less digits than its factorization.

66249144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23621 (or 23611 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 66249144 is about 8139.3577142180. The cubic root of 66249144 is about 404.6318739969.

The spelling of 66249144 in words is "sixty-six million, two hundred forty-nine thousand, one hundred forty-four".