98743680000 has 1320 divisors, whose sum is σ = 425639751680. Its totient is φ = 21565440000.

The previous prime is 98743679981. The next prime is 98743680001. The reversal of 98743680000 is 8634789.

It is a happy number.

98743680000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98743680001) 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 119 ways as a sum of consecutive naturals, for example, 1249919961 + ... + 1249920039.

Almost surely, 2^98743680000 is an apocalyptic number.

98743680000 is a gapful number since it is divisible by the number (90) 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 98743680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212819875840).

98743680000 is an abundant number, since it is smaller than the sum of its proper divisors (326896071680).

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

98743680000 is a wasteful number, since it uses less digits than its factorization.

98743680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 98743680000 in words is "ninety-eight billion, seven hundred forty-three million, six hundred eighty thousand".