98262700368000 has 2048 divisors, whose sum is σ = 412805652480000. Its totient is φ = 20589520896000.

The previous prime is 98262700367987. The next prime is 98262700368011. The reversal of 98262700368000 is 86300726289.

It is a super-2 number, since 2×98262700368000² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 9697290934 + ... + 9697301066.

It is an arithmetic number, because the mean of its divisors is an integer number (201565260000).

Almost surely, 2^{98262700368000} 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 98262700368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206402826240000).

98262700368000 is an abundant number, since it is smaller than the sum of its proper divisors (314542952112000).

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

98262700368000 is a wasteful number, since it uses less digits than its factorization.

98262700368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10236 (or 10200 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 98262700368000 in words is "ninety-eight trillion, two hundred sixty-two billion, seven hundred million, three hundred sixty-eight thousand".