98941160448 has 440 divisors, whose sum is σ = 322072359840. Its totient is φ = 30072176640.

The previous prime is 98941160419. The next prime is 98941160449. The reversal of 98941160448 is 84406114989.

It is a happy number.

98941160448 is a `hidden beast` number, since 9 + 89 + 4 + 116 + 0 + 448 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 98941160394 and 98941160403.

It is not an unprimeable number, because it can be changed into a prime (98941160449) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 95965693 + ... + 95966723.

It is an arithmetic number, because the mean of its divisors is an integer number (731982636).

Almost surely, 2^98941160448 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 98941160448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161036179920).

98941160448 is an abundant number, since it is smaller than the sum of its proper divisors (223131199392).

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

98941160448 is a wasteful number, since it uses less digits than its factorization.

98941160448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1165 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 98941160448 in words is "ninety-eight billion, nine hundred forty-one million, one hundred sixty thousand, four hundred forty-eight".