98048518128 has 240 divisors, whose sum is σ = 307302652800. Its totient is φ = 28926374400.

The previous prime is 98048518103. The next prime is 98048518133. The reversal of 98048518128 is 82181584089.

98048518128 is a `hidden beast` number, since 9 + 80 + 48 + 518 + 1 + 2 + 8 = 666.

It is a Cunningham number, because it is equal to 313127²-1.

It is a super-2 number, since 2×98048518128² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 22542898 + ... + 22547246.

It is an arithmetic number, because the mean of its divisors is an integer number (1280427720).

Almost surely, 2^98048518128 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 98048518128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153651326400).

98048518128 is an abundant number, since it is smaller than the sum of its proper divisors (209254134672).

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

98048518128 is a wasteful number, since it uses less digits than its factorization.

98048518128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4748 (or 4739 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 54.

The spelling of 98048518128 in words is "ninety-eight billion, forty-eight million, five hundred eighteen thousand, one hundred twenty-eight".