98221248921600 has 4320 divisors, whose sum is σ = 449796587175936. Its totient is φ = 19976631091200.

The previous prime is 98221248921599. The next prime is 98221248921619. The reversal of 98221248921600 is 612984212289.

98221248921600 is a `hidden beast` number, since 9 + 8 + 2 + 2 + 1 + 2 + 4 + 8 + 9 + 21 + 600 = 666.

98221248921600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 773395660737 + ... + 773395660863.

Almost surely, 2^{98221248921600} is an apocalyptic number.

98221248921600 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 98221248921600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224898293587968).

98221248921600 is an abundant number, since it is smaller than the sum of its proper divisors (351575338254336).

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

98221248921600 is a wasteful number, since it uses less digits than its factorization.

98221248921600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 98221248921600 in words is "ninety-eight trillion, two hundred twenty-one billion, two hundred forty-eight million, nine hundred twenty-one thousand, six hundred".