98322481152000 has 2688 divisors, whose sum is σ = 429228089472000. Its totient is φ = 22473709977600.

The previous prime is 98322481151989. The next prime is 98322481152013. The reversal of 98322481152000 is 25118422389.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (8!)² ⋅ 7! ⋅ 3! ⋅ 2!.

98322481152000 is a `hidden beast` number, since 9 + 8 + 322 + 4 + 8 + 115 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 14046068735997 + ... + 14046068736003.

It is an arithmetic number, because the mean of its divisors is an integer number (159683069000).

Almost surely, 2^{98322481152000} is an apocalyptic number.

98322481152000 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 98322481152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214614044736000).

98322481152000 is an abundant number, since it is smaller than the sum of its proper divisors (330905608320000).

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

98322481152000 is an frugal number, since it uses more digits than its factorization.

98322481152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

Adding to 98322481152000 its reverse (25118422389), we get a palindrome (98347599574389).

The spelling of 98322481152000 in words is "ninety-eight trillion, three hundred twenty-two billion, four hundred eighty-one million, one hundred fifty-two thousand".