98229736800 has 864 divisors, whose sum is σ = 395551683072. Its totient is φ = 23636551680.

The previous prime is 98229736763. The next prime is 98229736807. The reversal of 98229736800 is 863792289.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98229736807) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 118777987 + ... + 118778813.

It is an arithmetic number, because the mean of its divisors is an integer number (457814448).

Almost surely, 2^98229736800 is an apocalyptic number.

98229736800 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 98229736800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197775841536).

98229736800 is an abundant number, since it is smaller than the sum of its proper divisors (297321946272).

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

98229736800 is a wasteful number, since it uses less digits than its factorization.

98229736800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 98229736800 in words is "ninety-eight billion, two hundred twenty-nine million, seven hundred thirty-six thousand, eight hundred".