98130267144 has 192 divisors, whose sum is σ = 332464554240. Its totient is φ = 25456135680.

The previous prime is 98130267113. The next prime is 98130267167. The reversal of 98130267144 is 44176203189.

It is a self number, because there is not a number n which added to its sum of digits gives 98130267144.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 276909 + ... + 522435.

It is an arithmetic number, because the mean of its divisors is an integer number (1731586220).

Almost surely, 2^98130267144 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 98130267144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166232277120).

98130267144 is an abundant number, since it is smaller than the sum of its proper divisors (234334287096).

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

98130267144 is a wasteful number, since it uses less digits than its factorization.

98130267144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245620 (or 245613 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 98130267144 in words is "ninety-eight billion, one hundred thirty million, two hundred sixty-seven thousand, one hundred forty-four".