98034964200 has 480 divisors, whose sum is σ = 372180821760. Its totient is φ = 23809075200.

The previous prime is 98034964151. The next prime is 98034964303. The reversal of 98034964200 is 246943089.

It is a super-2 number, since 2×98034964200² (a number of 23 digits) contains 22 as substring.

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 119 ways as a sum of consecutive naturals, for example, 8531659 + ... + 8543141.

It is an arithmetic number, because the mean of its divisors is an integer number (775376712).

Almost surely, 2^98034964200 is an apocalyptic number.

98034964200 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 98034964200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186090410880).

98034964200 is an abundant number, since it is smaller than the sum of its proper divisors (274145857560).

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

98034964200 is a wasteful number, since it uses less digits than its factorization.

98034964200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11559 (or 11541 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 98034964200 in words is "ninety-eight billion, thirty-four million, nine hundred sixty-four thousand, two hundred".