82245965152 has 192 divisors, whose sum is σ = 190003968000. Its totient is φ = 34718035968.

The previous prime is 82245965141. The next prime is 82245965233. The reversal of 82245965152 is 25156954228.

It is a junction number, because it is equal to n+sod(n) for n = 82245965096 and 82245965105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30247249 + ... + 30249967.

It is an arithmetic number, because the mean of its divisors is an integer number (989604000).

Almost surely, 2^82245965152 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 82245965152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95001984000).

82245965152 is an abundant number, since it is smaller than the sum of its proper divisors (107758002848).

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

82245965152 is a wasteful number, since it uses less digits than its factorization.

82245965152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2893 (or 2885 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 49.

The spelling of 82245965152 in words is "eighty-two billion, two hundred forty-five million, nine hundred sixty-five thousand, one hundred fifty-two".