82459541662848 has 512 divisors, whose sum is σ = 292858535424000. Its totient is φ = 22313595543552.

The previous prime is 82459541662847. The next prime is 82459541662903. The reversal of 82459541662848 is 84826614595428.

82459541662848 is a `hidden beast` number, since 8 + 2 + 4 + 59 + 541 + 6 + 6 + 28 + 4 + 8 = 666.

It is a super-2 number, since 2×82459541662848² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (82459541662847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1768242540 + ... + 1768289172.

It is an arithmetic number, because the mean of its divisors is an integer number (571989327000).

Almost surely, 2^{82459541662848} 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 82459541662848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146429267712000).

82459541662848 is an abundant number, since it is smaller than the sum of its proper divisors (210398993761152).

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

82459541662848 is a wasteful number, since it uses less digits than its factorization.

82459541662848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50529 (or 50511 counting only the distinct ones).

The product of its digits is 1061683200, while the sum is 72.

The spelling of 82459541662848 in words is "eighty-two trillion, four hundred fifty-nine billion, five hundred forty-one million, six hundred sixty-two thousand, eight hundred forty-eight".