66117712248 has 384 divisors, whose sum is σ = 228324096000. Its totient is φ = 16855050240.

The previous prime is 66117712183. The next prime is 66117712249. The reversal of 66117712248 is 84221771166.

66117712248 is a `hidden beast` number, since 6 + 611 + 7 + 7 + 1 + 2 + 24 + 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 (66117712249) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11382961 + ... + 11388767.

It is an arithmetic number, because the mean of its divisors is an integer number (594594000).

Almost surely, 2^66117712248 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 66117712248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114162048000).

66117712248 is an abundant number, since it is smaller than the sum of its proper divisors (162206383752).

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

66117712248 is a wasteful number, since it uses less digits than its factorization.

66117712248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5915 (or 5908 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The spelling of 66117712248 in words is "sixty-six billion, one hundred seventeen million, seven hundred twelve thousand, two hundred forty-eight".