98984192846400 has 567 divisors, whose sum is σ = 373802078917969. Its totient is φ = 24837997608960.

The previous prime is 98984192846387. The next prime is 98984192846419. The reversal of 98984192846400 is 464829148989.

The square root of 98984192846400 is 9949080.

It is a perfect power (a square), and thus also a powerful number.

98984192846400 is a `hidden beast` number, since 9 + 8 + 98 + 4 + 1 + 92 + 8 + 46 + 400 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 57185174919744 + 41799017926656 = 7562088^2 + 6465216^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 20296120762 + ... + 20296125638.

Almost surely, 2^{98984192846400} is an apocalyptic number.

98984192846400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

98984192846400 is the 9949080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98984192846400

98984192846400 is an abundant number, since it is smaller than the sum of its proper divisors (274817886071569).

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

98984192846400 is an equidigital number, since it uses as much as digits as its factorization.

98984192846400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9816 (or 4904 counting only the distinct ones).

The product of its (nonzero) digits is 286654464, while the sum is 72.

The spelling of 98984192846400 in words is "ninety-eight trillion, nine hundred eighty-four billion, one hundred ninety-two million, eight hundred forty-six thousand, four hundred".