98415328096512 has 1728 divisors, whose sum is σ = 360829563494400. Its totient is φ = 25178878771200.

The previous prime is 98415328096507. The next prime is 98415328096523. The reversal of 98415328096512 is 21569082351489.

98415328096512 is a `hidden beast` number, since 9 + 8 + 4 + 1 + 5 + 3 + 28 + 0 + 96 + 512 = 666.

It is a super-2 number, since 2×98415328096512² (a number of 29 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 98415328096512.

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 191 ways as a sum of consecutive naturals, for example, 69847641664 + ... + 69847643072.

It is an arithmetic number, because the mean of its divisors is an integer number (208813404800).

Almost surely, 2^{98415328096512} is an apocalyptic number.

98415328096512 is a gapful number since it is divisible by the number (92) 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 98415328096512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180414781747200).

98415328096512 is an abundant number, since it is smaller than the sum of its proper divisors (262414235397888).

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

98415328096512 is a wasteful number, since it uses less digits than its factorization.

98415328096512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1684 (or 1667 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 98415328096512 in words is "ninety-eight trillion, four hundred fifteen billion, three hundred twenty-eight million, ninety-six thousand, five hundred twelve".