98457864960 has 1152 divisors, whose sum is σ = 408773836800. Its totient is φ = 19641139200.

The previous prime is 98457864943. The next prime is 98457864961. The reversal of 98457864960 is 6946875489.

It is a super-3 number, since 3×98457864960³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 98457864891 and 98457864900.

It is not an unprimeable number, because it can be changed into a prime (98457864961) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 660790966 + ... + 660791114.

It is an arithmetic number, because the mean of its divisors is an integer number (354838400).

Almost surely, 2^98457864960 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 98457864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204386918400).

98457864960 is an abundant number, since it is smaller than the sum of its proper divisors (310315971840).

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

98457864960 is a wasteful number, since it uses less digits than its factorization.

98457864960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 66.

The spelling of 98457864960 in words is "ninety-eight billion, four hundred fifty-seven million, eight hundred sixty-four thousand, nine hundred sixty".