66114048 has 320 divisors, whose sum is σ = 241984512. Its totient is φ = 15482880.

The previous prime is 66114047. The next prime is 66114049. The reversal of 66114048 is 84041166.

It is an interprime number because it is at equal distance from previous prime (66114047) and next prime (66114049).

It is not an unprimeable number, because it can be changed into a prime (66114047) 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, 1537515 + ... + 1537557.

Almost surely, 2^66114048 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 66114048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120992256).

66114048 is an abundant number, since it is smaller than the sum of its proper divisors (175870464).

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

66114048 is a wasteful number, since it uses less digits than its factorization.

66114048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 66114048 is about 8131.0545441535. The cubic root of 66114048 is about 404.3566435373.

The spelling of 66114048 in words is "sixty-six million, one hundred fourteen thousand, forty-eight".