982415581056 has 384 divisors, whose sum is σ = 3487477593600. Its totient is φ = 258496303104.

The previous prime is 982415581051. The next prime is 982415581073. The reversal of 982415581056 is 650185514289.

982415581056 is a `hidden beast` number, since 9 + 8 + 2 + 4 + 1 + 5 + 581 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 982415580993 and 982415581011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (982415581051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46010575 + ... + 46031921.

It is an arithmetic number, because the mean of its divisors is an integer number (9081972900).

Almost surely, 2^982415581056 is an apocalyptic number.

982415581056 is a gapful number since it is divisible by the number (96) 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 982415581056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743738796800).

982415581056 is an abundant number, since it is smaller than the sum of its proper divisors (2505062012544).

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

982415581056 is a wasteful number, since it uses less digits than its factorization.

982415581056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21826 (or 21811 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 54.

The spelling of 982415581056 in words is "nine hundred eighty-two billion, four hundred fifteen million, five hundred eighty-one thousand, fifty-six".