98834784400 has 135 divisors (see below), whose sum is σ = 261182158923. Its totient is φ = 35914771200.

The previous prime is 98834784379. The next prime is 98834784413. The reversal of 98834784400 is 448743889.

It is a happy number.

The square root of 98834784400 is 314380.

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

It can be written as a sum of positive squares in 4 ways, for example, as 37600312464 + 61234471936 = 193908^2 + 247456^2 .

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 69162886 + ... + 69164314.

Almost surely, 2^98834784400 is an apocalyptic number.

98834784400 is the 314380-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98834784400

98834784400 is an abundant number, since it is smaller than the sum of its proper divisors (162347374523).

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

98834784400 is a wasteful number, since it uses less digits than its factorization.

98834784400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2898 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 55.

The spelling of 98834784400 in words is "ninety-eight billion, eight hundred thirty-four million, seven hundred eighty-four thousand, four hundred".