32959414544 has 80 divisors (see below), whose sum is σ = 75549033600. Its totient is φ = 13629192192.

The previous prime is 32959414487. The next prime is 32959414567. The reversal of 32959414544 is 44541495923.

It is a junction number, because it is equal to n+sod(n) for n = 32959414492 and 32959414501.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7075064 + ... + 7079720.

It is an arithmetic number, because the mean of its divisors is an integer number (944362920).

Almost surely, 2^32959414544 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 32959414544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37774516800).

32959414544 is an abundant number, since it is smaller than the sum of its proper divisors (42589619056).

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

32959414544 is a wasteful number, since it uses less digits than its factorization.

32959414544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6880 (or 6874 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 50.

The spelling of 32959414544 in words is "thirty-two billion, nine hundred fifty-nine million, four hundred fourteen thousand, five hundred forty-four".