66114816 has 72 divisors (see below), whose sum is σ = 181703424. Its totient is φ = 21319680.

The previous prime is 66114791. The next prime is 66114821. The reversal of 66114816 is 61841166.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22420 + ... + 25196.

Almost surely, 2^66114816 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 66114816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90851712).

66114816 is an abundant number, since it is smaller than the sum of its proper divisors (115588608).

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

66114816 is a wasteful number, since it uses less digits than its factorization.

66114816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2827 (or 2813 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 66114816 is about 8131.1017703630. The cubic root of 66114816 is about 404.3582092394.

The spelling of 66114816 in words is "sixty-six million, one hundred fourteen thousand, eight hundred sixteen".