66114444 has 96 divisors (see below), whose sum is σ = 176504832. Its totient is φ = 19080000.

The previous prime is 66114437. The next prime is 66114457. The reversal of 66114444 is 44441166.

It is a super-2 number, since 2×66114444² = 8742239410858272, which contains 22 as substring.

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

It is a zygodrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 437769 + ... + 437919.

It is an arithmetic number, because the mean of its divisors is an integer number (1838592).

Almost surely, 2^66114444 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 66114444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88252416).

66114444 is an abundant number, since it is smaller than the sum of its proper divisors (110390388).

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

66114444 is a wasteful number, since it uses less digits than its factorization.

66114444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 305 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 66114444 is about 8131.0788952020. The cubic root of 66114444 is about 404.3574508540.

The spelling of 66114444 in words is "sixty-six million, one hundred fourteen thousand, four hundred forty-four".