82459118112 has 192 divisors, whose sum is σ = 257892139008. Its totient is φ = 22573440000.

The previous prime is 82459118107. The next prime is 82459118113. The reversal of 82459118112 is 21181195428.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (82459118113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2084437 + ... + 2123627.

It is an arithmetic number, because the mean of its divisors is an integer number (1343188224).

Almost surely, 2^82459118112 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 82459118112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128946069504).

82459118112 is an abundant number, since it is smaller than the sum of its proper divisors (175433020896).

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

82459118112 is a wasteful number, since it uses less digits than its factorization.

82459118112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39343 (or 39335 counting only the distinct ones).

The product of its digits is 46080, while the sum is 42.

The spelling of 82459118112 in words is "eighty-two billion, four hundred fifty-nine million, one hundred eighteen thousand, one hundred twelve".