98229501849600 has 1872 divisors, whose sum is σ = 390554646902784. Its totient is φ = 23399497728000.

The previous prime is 98229501849473. The next prime is 98229501849629. The reversal of 98229501849600 is 694810592289.

98229501849600 is a `hidden beast` number, since 9 + 8 + 2 + 2 + 9 + 5 + 0 + 18 + 4 + 9 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 187819314939 + ... + 187819315461.

It is an arithmetic number, because the mean of its divisors is an integer number (208629619072).

Almost surely, 2^{98229501849600} is an apocalyptic number.

98229501849600 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 98229501849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195277323451392).

98229501849600 is an abundant number, since it is smaller than the sum of its proper divisors (292325145053184).

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

98229501849600 is a wasteful number, since it uses less digits than its factorization.

98229501849600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 98229501849600 in words is "ninety-eight trillion, two hundred twenty-nine billion, five hundred one million, eight hundred forty-nine thousand, six hundred".