98000230809600 has 1944 divisors, whose sum is σ = 414412489223460. Its totient is φ = 22069421015040.

The previous prime is 98000230809599. The next prime is 98000230809703. The reversal of 98000230809600 is 690803200089.

98000230809600 is a `hidden beast` number, since 9 + 8 + 0 + 0 + 0 + 2 + 30 + 8 + 0 + 9 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 11801038749696 + 86199192059904 = 3435264^2 + 9284352^2 .

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 107 ways as a sum of consecutive naturals, for example, 105490021936 + ... + 105490022864.

Almost surely, 2^{98000230809600} is an apocalyptic number.

98000230809600 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 98000230809600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207206244611730).

98000230809600 is an abundant number, since it is smaller than the sum of its proper divisors (316412258413860).

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

98000230809600 is an equidigital number, since it uses as much as digits as its factorization.

98000230809600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 98000230809600 in words is "ninety-eight trillion, two hundred thirty million, eight hundred nine thousand, six hundred".