98418230400 has 768 divisors, whose sum is σ = 381989836800. Its totient is φ = 21808742400.

The previous prime is 98418230387. The next prime is 98418230411. The reversal of 98418230400 is 403281489.

It is a super-2 number, since 2×98418230400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 408374280 + ... + 408374520.

It is an arithmetic number, because the mean of its divisors is an integer number (497382600).

Almost surely, 2^98418230400 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 98418230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190994918400).

98418230400 is an abundant number, since it is smaller than the sum of its proper divisors (283571606400).

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

98418230400 is a wasteful number, since it uses less digits than its factorization.

98418230400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 98418230400 in words is "ninety-eight billion, four hundred eighteen million, two hundred thirty thousand, four hundred".