982441278758100 has 576 divisors, whose sum is σ = 3336772832870400. Its totient is φ = 218565486397440.

The previous prime is 982441278758089. The next prime is 982441278758117. The reversal of 982441278758100 is 1857872144289.

It is a super-2 number, since 2×982441278758100² (a number of 31 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3562232809 + ... + 3562508591.

It is an arithmetic number, because the mean of its divisors is an integer number (5793008390400).

Almost surely, 2^{982441278758100} 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 982441278758100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1668386416435200).

982441278758100 is an abundant number, since it is smaller than the sum of its proper divisors (2354331554112300).

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

982441278758100 is a wasteful number, since it uses less digits than its factorization.

982441278758100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276192 (or 276185 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 66.

The spelling of 982441278758100 in words is "nine hundred eighty-two trillion, four hundred forty-one billion, two hundred seventy-eight million, seven hundred fifty-eight thousand, one hundred".