98445245760 has 336 divisors, whose sum is σ = 348499419840. Its totient is φ = 25492561920.

The previous prime is 98445245693. The next prime is 98445245761. The reversal of 98445245760 is 6754254489.

98445245760 is a `hidden beast` number, since 9 + 8 + 4 + 4 + 524 + 57 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 98445245697 and 98445245706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98445245761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22165140 + ... + 22169580.

Almost surely, 2^98445245760 is an apocalyptic number.

98445245760 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 98445245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174249709920).

98445245760 is an abundant number, since it is smaller than the sum of its proper divisors (250054174080).

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

98445245760 is a wasteful number, since it uses less digits than its factorization.

98445245760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4686 (or 4673 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 98445245760 in words is "ninety-eight billion, four hundred forty-five million, two hundred forty-five thousand, seven hundred sixty".