98195884416 has 512 divisors, whose sum is σ = 341055360000. Its totient is φ = 27235270656.

The previous prime is 98195884393. The next prime is 98195884469. The reversal of 98195884416 is 61448859189.

98195884416 is a `hidden beast` number, since 9 + 8 + 1 + 9 + 588 + 4 + 41 + 6 = 666.

It is a super-2 number, since 2×98195884416² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127031806 + ... + 127032578.

It is an arithmetic number, because the mean of its divisors is an integer number (666123750).

Almost surely, 2^98195884416 is an apocalyptic number.

98195884416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98195884416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170527680000).

98195884416 is an abundant number, since it is smaller than the sum of its proper divisors (242859475584).

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

98195884416 is a wasteful number, since it uses less digits than its factorization.

98195884416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 933 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 63.

The spelling of 98195884416 in words is "ninety-eight billion, one hundred ninety-five million, eight hundred eighty-four thousand, four hundred sixteen".