98712649728 has 1152 divisors, whose sum is σ = 391599411840. Its totient is φ = 24524881920.

The previous prime is 98712649681. The next prime is 98712649733. The reversal of 98712649728 is 82794621789.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 4291854325 + ... + 4291854347.

It is an arithmetic number, because the mean of its divisors is an integer number (339930045).

Almost surely, 2^98712649728 is an apocalyptic number.

98712649728 is a gapful number since it is divisible by the number (98) 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 98712649728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195799705920).

98712649728 is an abundant number, since it is smaller than the sum of its proper divisors (292886762112).

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

98712649728 is an equidigital number, since it uses as much as digits as its factorization.

98712649728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 46 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The spelling of 98712649728 in words is "ninety-eight billion, seven hundred twelve million, six hundred forty-nine thousand, seven hundred twenty-eight".