32168864448 has 448 divisors, whose sum is σ = 116060037120. Its totient is φ = 8527970304.

The previous prime is 32168864383. The next prime is 32168864449. The reversal of 32168864448 is 84446886123.

It is a happy number.

32168864448 is a `hidden beast` number, since 32 + 168 + 8 + 6 + 4 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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 = 32168864394 and 32168864403.

It is not an unprimeable number, because it can be changed into a prime (32168864449) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15010065 + ... + 15012207.

Almost surely, 2^32168864448 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 32168864448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58030018560).

32168864448 is an abundant number, since it is smaller than the sum of its proper divisors (83891172672).

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

32168864448 is a wasteful number, since it uses less digits than its factorization.

32168864448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2261 (or 2245 counting only the distinct ones).

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

The spelling of 32168864448 in words is "thirty-two billion, one hundred sixty-eight million, eight hundred sixty-four thousand, four hundred forty-eight".