98839771201008 has 640 divisors, whose sum is σ = 295750830735360. Its totient is φ = 31583841408000.

The previous prime is 98839771201007. The next prime is 98839771201009. The reversal of 98839771201008 is 80010217793889.

It is an interprime number because it is at equal distance from previous prime (98839771201007) and next prime (98839771201009).

It is a super-2 number, since 2×98839771201008² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98839771201007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 133027955485 + ... + 133027956227.

It is an arithmetic number, because the mean of its divisors is an integer number (462110673024).

Almost surely, 2^{98839771201008} 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 98839771201008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147875415367680).

98839771201008 is an abundant number, since it is smaller than the sum of its proper divisors (196911059534352).

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

98839771201008 is a wasteful number, since it uses less digits than its factorization.

98839771201008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 63.

The spelling of 98839771201008 in words is "ninety-eight trillion, eight hundred thirty-nine billion, seven hundred seventy-one million, two hundred one thousand, eight".