98318459366400 has 2112 divisors, whose sum is σ = 408792032746496. Its totient is φ = 20288765952000.

The previous prime is 98318459366399. The next prime is 98318459366401. The reversal of 98318459366400 is 466395481389.

It is an interprime number because it is at equal distance from previous prime (98318459366399) and next prime (98318459366401).

It is not an unprimeable number, because it can be changed into a prime (98318459366401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 89952844254 + ... + 89952845346.

Almost surely, 2^{98318459366400} 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 98318459366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204396016373248).

98318459366400 is an abundant number, since it is smaller than the sum of its proper divisors (310473573380096).

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

98318459366400 is a wasteful number, since it uses less digits than its factorization.

98318459366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1418 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 66.

The spelling of 98318459366400 in words is "ninety-eight trillion, three hundred eighteen billion, four hundred fifty-nine million, three hundred sixty-six thousand, four hundred".