82846914048 has 200 divisors, whose sum is σ = 247674929040. Its totient is φ = 27571138560.

The previous prime is 82846914047. The next prime is 82846914071. The reversal of 82846914048 is 84041964828.

It is a happy number.

It is a super-2 number, since 2×82846914048² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 82846913985 and 82846914003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82846914041) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34793818 + ... + 34796198.

Almost surely, 2^82846914048 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 82846914048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123837464520).

82846914048 is an abundant number, since it is smaller than the sum of its proper divisors (164828014992).

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

82846914048 is an equidigital number, since it uses as much as digits as its factorization.

82846914048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3250 (or 3225 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 82846914048 in words is "eighty-two billion, eight hundred forty-six million, nine hundred fourteen thousand, forty-eight".