98234224416 has 48 divisors (see below), whose sum is σ = 286516490400. Its totient is φ = 32744741184.

The previous prime is 98234224397. The next prime is 98234224427. The reversal of 98234224416 is 61442243289.

98234224416 is a `hidden beast` number, since 9 + 8 + 2 + 3 + 4 + 224 + 416 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×98234224416³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56847646 + ... + 56849373.

It is an arithmetic number, because the mean of its divisors is an integer number (5969093550).

Almost surely, 2^98234224416 is an apocalyptic number.

98234224416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

98234224416 is an abundant number, since it is smaller than the sum of its proper divisors (188282265984).

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

98234224416 is a wasteful number, since it uses less digits than its factorization.

98234224416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113697038 (or 113697024 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 98234224416 in words is "ninety-eight billion, two hundred thirty-four million, two hundred twenty-four thousand, four hundred sixteen".