664248983112 has 768 divisors, whose sum is σ = 2244956313600. Its totient is φ = 174680064000.

The previous prime is 664248983077. The next prime is 664248983131. The reversal of 664248983112 is 211389842466.

664248983112 is a `hidden beast` number, since 6 + 6 + 42 + 489 + 8 + 3 + 112 = 666.

It is a super-2 number, since 2×664248983112² (a number of 24 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2122201068 + ... + 2122201380.

It is an arithmetic number, because the mean of its divisors is an integer number (2923120200).

Almost surely, 2^664248983112 is an apocalyptic number.

664248983112 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664248983112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122478156800).

664248983112 is an abundant number, since it is smaller than the sum of its proper divisors (1580707330488).

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

664248983112 is a wasteful number, since it uses less digits than its factorization.

664248983112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 543 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 664248983112 in words is "six hundred sixty-four billion, two hundred forty-eight million, nine hundred eighty-three thousand, one hundred twelve".