82461392244 has 864 divisors, whose sum is σ = 301161369600. Its totient is φ = 18689771520.

The previous prime is 82461392239. The next prime is 82461392257. The reversal of 82461392244 is 44229316428.

82461392244 is a `hidden beast` number, since 8 + 2 + 4 + 613 + 9 + 2 + 24 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 82461392244.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 369781917 + ... + 369782139.

It is an arithmetic number, because the mean of its divisors is an integer number (348566400).

Almost surely, 2^82461392244 is an apocalyptic number.

82461392244 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82461392244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150580684800).

82461392244 is an abundant number, since it is smaller than the sum of its proper divisors (218699977356).

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

82461392244 is a wasteful number, since it uses less digits than its factorization.

82461392244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 341 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 82461392244 in words is "eighty-two billion, four hundred sixty-one million, three hundred ninety-two thousand, two hundred forty-four".