82116443136 has 704 divisors, whose sum is σ = 293560630272. Its totient is φ = 19789774848.

The previous prime is 82116443117. The next prime is 82116443137. The reversal of 82116443136 is 63134461128.

It is a happy number.

It is a super-2 number, since 2×82116443136² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is a junction number, because it is equal to n+sod(n) for n = 82116443094 and 82116443103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82116443137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 175837975 + ... + 175838441.

Almost surely, 2^82116443136 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 82116443136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146780315136).

82116443136 is an abundant number, since it is smaller than the sum of its proper divisors (211444187136).

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

82116443136 is a wasteful number, since it uses less digits than its factorization.

82116443136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 546 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The spelling of 82116443136 in words is "eighty-two billion, one hundred sixteen million, four hundred forty-three thousand, one hundred thirty-six".