98119372775424 has 1792 divisors, whose sum is σ = 385895363051520. Its totient is φ = 21315625943040.

The previous prime is 98119372775419. The next prime is 98119372775483. The reversal of 98119372775424 is 42457727391189.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a super-2 number, since 2×98119372775424² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10750447149 + ... + 10750456275.

It is an arithmetic number, because the mean of its divisors is an integer number (215343394560).

Almost surely, 2^{98119372775424} 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 98119372775424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192947681525760).

98119372775424 is an abundant number, since it is smaller than the sum of its proper divisors (287775990276096).

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

98119372775424 is a wasteful number, since it uses less digits than its factorization.

98119372775424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9229 (or 9205 counting only the distinct ones).

The product of its digits is 213373440, while the sum is 69.

The spelling of 98119372775424 in words is "ninety-eight trillion, one hundred nineteen billion, three hundred seventy-two million, seven hundred seventy-five thousand, four hundred twenty-four".