98129245824 has 128 divisors (see below), whose sum is σ = 290397835200. Its totient is φ = 32621626368.

The previous prime is 98129245817. The next prime is 98129245853. The reversal of 98129245824 is 42854292189.

98129245824 is a `hidden beast` number, since 9 + 81 + 2 + 92 + 458 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1251027 + ... + 1327149.

Almost surely, 2^98129245824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98129245824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145198917600).

98129245824 is an abundant number, since it is smaller than the sum of its proper divisors (192268589376).

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

98129245824 is a wasteful number, since it uses less digits than its factorization.

98129245824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76519 (or 76501 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 54.

The spelling of 98129245824 in words is "ninety-eight billion, one hundred twenty-nine million, two hundred forty-five thousand, eight hundred twenty-four".