82544356944 has 480 divisors, whose sum is σ = 282764401920. Its totient is φ = 21979496448.

The previous prime is 82544356943. The next prime is 82544356949. The reversal of 82544356944 is 44965344528.

82544356944 is a `hidden beast` number, since 8 + 2 + 544 + 3 + 5 + 6 + 94 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82544356943) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 121926334 + ... + 121927010.

It is an arithmetic number, because the mean of its divisors is an integer number (589092504).

Almost surely, 2^82544356944 is an apocalyptic number.

82544356944 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 82544356944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141382200960).

82544356944 is an abundant number, since it is smaller than the sum of its proper divisors (200220044976).

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

82544356944 is a wasteful number, since it uses less digits than its factorization.

82544356944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 858 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 82544356944 in words is "eighty-two billion, five hundred forty-four million, three hundred fifty-six thousand, nine hundred forty-four".