98546222808000 has 896 divisors, whose sum is σ = 394744812134400. Its totient is φ = 23870550528000.

The previous prime is 98546222807891. The next prime is 98546222808133. The reversal of 98546222808000 is 80822264589.

It is a happy number.

98546222808000 is a `hidden beast` number, since 9 + 8 + 5 + 4 + 622 + 2 + 8 + 0 + 8 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×98546222808000² (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3034135761 + ... + 3034168239.

It is an arithmetic number, because the mean of its divisors is an integer number (440563406400).

Almost surely, 2^{98546222808000} is an apocalyptic number.

98546222808000 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 98546222808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197372406067200).

98546222808000 is an abundant number, since it is smaller than the sum of its proper divisors (296198589326400).

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

98546222808000 is a wasteful number, since it uses less digits than its factorization.

98546222808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33803 (or 33777 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 98546222808000 in words is "ninety-eight trillion, five hundred forty-six billion, two hundred twenty-two million, eight hundred eight thousand".