32648168448 has 660 divisors, whose sum is σ = 117745446060. Its totient is φ = 8973877248.

The previous prime is 32648168393. The next prime is 32648168453. The reversal of 32648168448 is 84486184623.

It is a happy number.

32648168448 is a `hidden beast` number, since 3 + 2 + 64 + 81 + 68 + 448 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10989748224 + 21658420224 = 104832^2 + 147168^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a junction number, because it is equal to n+sod(n) for n = 32648168394 and 32648168403.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 117863286 + ... + 117863562.

It is an arithmetic number, because the mean of its divisors is an integer number (178402191).

Almost surely, 2^32648168448 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 32648168448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58872723030).

32648168448 is an abundant number, since it is smaller than the sum of its proper divisors (85097277612).

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

32648168448 is a wasteful number, since it uses less digits than its factorization.

32648168448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 318 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The spelling of 32648168448 in words is "thirty-two billion, six hundred forty-eight million, one hundred sixty-eight thousand, four hundred forty-eight".