82061749224 has 288 divisors, whose sum is σ = 278848762920. Its totient is φ = 21609649152.

The previous prime is 82061749213. The next prime is 82061749229. The reversal of 82061749224 is 42294716028.

82061749224 is a `hidden beast` number, since 8 + 2 + 0 + 617 + 4 + 9 + 2 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 58830502500 + 23231246724 = 242550^2 + 152418^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 82061749224.

It is not an unprimeable number, because it can be changed into a prime (82061749229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50128534 + ... + 50130170.

Almost surely, 2^82061749224 is an apocalyptic number.

82061749224 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 82061749224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139424381460).

82061749224 is an abundant number, since it is smaller than the sum of its proper divisors (196787013696).

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

82061749224 is a wasteful number, since it uses less digits than its factorization.

82061749224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 82061749224 in words is "eighty-two billion, sixty-one million, seven hundred forty-nine thousand, two hundred twenty-four".