83346219432 has 320 divisors, whose sum is σ = 282321072000. Its totient is φ = 22440789504.

The previous prime is 83346219373. The next prime is 83346219469. The reversal of 83346219432 is 23491264338.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16975794 + ... + 16980702.

It is an arithmetic number, because the mean of its divisors is an integer number (882253350).

Almost surely, 2^83346219432 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 83346219432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141160536000).

83346219432 is an abundant number, since it is smaller than the sum of its proper divisors (198974852568).

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

83346219432 is a wasteful number, since it uses less digits than its factorization.

83346219432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5150 (or 5137 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The spelling of 83346219432 in words is "eighty-three billion, three hundred forty-six million, two hundred nineteen thousand, four hundred thirty-two".