32816234816 has 56 divisors (see below), whose sum is σ = 68032594440. Its totient is φ = 15685376000.

The previous prime is 32816234761. The next prime is 32816234819. The reversal of 32816234816 is 61843261823.

It can be written as a sum of positive squares in 4 ways, for example, as 3948865600 + 28867369216 = 62840^2 + 169904^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32816234819) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99926 + ... + 274986.

Almost surely, 2^32816234816 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 32816234816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34016297220).

32816234816 is an abundant number, since it is smaller than the sum of its proper divisors (35216359624).

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

32816234816 is a wasteful number, since it uses less digits than its factorization.

32816234816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175203 (or 175193 counting only the distinct ones).

The product of its digits is 331776, while the sum is 44.

The spelling of 32816234816 in words is "thirty-two billion, eight hundred sixteen million, two hundred thirty-four thousand, eight hundred sixteen".