98342631878400 has 6048 divisors, whose sum is σ = 482160663075840. Its totient is φ = 19271779614720.

The previous prime is 98342631878371. The next prime is 98342631878411. The reversal of 98342631878400 is 487813624389.

98342631878400 is a `hidden beast` number, since 9 + 8 + 3 + 42 + 6 + 3 + 187 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (6048).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 588878035117 + ... + 588878035283.

Almost surely, 2^{98342631878400} is an apocalyptic number.

98342631878400 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 98342631878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241080331537920).

98342631878400 is an abundant number, since it is smaller than the sum of its proper divisors (383818031197440).

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

98342631878400 is a wasteful number, since it uses less digits than its factorization.

98342631878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 98342631878400 in words is "ninety-eight trillion, three hundred forty-two billion, six hundred thirty-one million, eight hundred seventy-eight thousand, four hundred".