66113642448 has 400 divisors, whose sum is σ = 234573736320. Its totient is φ = 17555346432.

The previous prime is 66113642443. The next prime is 66113642503. The reversal of 66113642448 is 84424631166.

66113642448 is a `hidden beast` number, since 6 + 611 + 3 + 6 + 4 + 24 + 4 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66113642443) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9131886 + ... + 9139122.

Almost surely, 2^66113642448 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 66113642448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117286868160).

66113642448 is an abundant number, since it is smaller than the sum of its proper divisors (168460093872).

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

66113642448 is a wasteful number, since it uses less digits than its factorization.

66113642448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7336 (or 7321 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 66113642448 in words is "sixty-six billion, one hundred thirteen million, six hundred forty-two thousand, four hundred forty-eight".