32816128416 has 192 divisors, whose sum is σ = 93137506560. Its totient is φ = 10090741760.

The previous prime is 32816128399. The next prime is 32816128441. The reversal of 32816128416 is 61482161823.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8054956 + ... + 8059028.

It is an arithmetic number, because the mean of its divisors is an integer number (485091180).

Almost surely, 2^32816128416 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 32816128416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46568753280).

32816128416 is an abundant number, since it is smaller than the sum of its proper divisors (60321378144).

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

32816128416 is a wasteful number, since it uses less digits than its factorization.

32816128416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4239 (or 4231 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The spelling of 32816128416 in words is "thirty-two billion, eight hundred sixteen million, one hundred twenty-eight thousand, four hundred sixteen".