32301147648 has 320 divisors, whose sum is σ = 109331430912. Its totient is φ = 8230010880.

The previous prime is 32301147647. The next prime is 32301147689. The reversal of 32301147648 is 84674110323.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32301147647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6265840 + ... + 6270992.

Almost surely, 2^32301147648 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 32301147648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54665715456).

32301147648 is an abundant number, since it is smaller than the sum of its proper divisors (77030283264).

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

32301147648 is a wasteful number, since it uses less digits than its factorization.

32301147648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5245 (or 5229 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 32301147648 in words is "thirty-two billion, three hundred one million, one hundred forty-seven thousand, six hundred forty-eight".