98914867200 has 1440 divisors, whose sum is σ = 411411480480. Its totient is φ = 23357030400.

The previous prime is 98914867189. The next prime is 98914867201. The reversal of 98914867200 is 276841989.

98914867200 is a `hidden beast` number, since 9 + 8 + 91 + 486 + 72 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 (98914867201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1621555170 + ... + 1621555230.

It is an arithmetic number, because the mean of its divisors is an integer number (285702417).

Almost surely, 2^98914867200 is an apocalyptic number.

98914867200 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 98914867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205705740240).

98914867200 is an abundant number, since it is smaller than the sum of its proper divisors (312496613280).

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

98914867200 is a wasteful number, since it uses less digits than its factorization.

98914867200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 98914867200 in words is "ninety-eight billion, nine hundred fourteen million, eight hundred sixty-seven thousand, two hundred".