32984338611616 has 768 divisors, whose sum is σ = 85812701184000. Its totient is φ = 12395980800000.

The previous prime is 32984338611611. The next prime is 32984338611689. The reversal of 32984338611616 is 61611683348923.

It is a happy number.

It is a super-2 number, since 2×32984338611616² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (32984338611611) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 89875581865 + ... + 89875582231.

It is an arithmetic number, because the mean of its divisors is an integer number (111735288000).

Almost surely, 2^{32984338611616} 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 32984338611616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42906350592000).

32984338611616 is an abundant number, since it is smaller than the sum of its proper divisors (52828362572384).

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

32984338611616 is a wasteful number, since it uses less digits than its factorization.

32984338611616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 764 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 61.

The spelling of 32984338611616 in words is "thirty-two trillion, nine hundred eighty-four billion, three hundred thirty-eight million, six hundred eleven thousand, six hundred sixteen".