229416398496 has 240 divisors, whose sum is σ = 691704921600. Its totient is φ = 74558154240.

The previous prime is 229416398371. The next prime is 229416398503. The reversal of 229416398496 is 694893614922.

229416398496 is a `hidden beast` number, since 2 + 29 + 416 + 39 + 84 + 96 = 666.

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

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 39 ways as a sum of consecutive naturals, for example, 33010830 + ... + 33017778.

It is an arithmetic number, because the mean of its divisors is an integer number (2882103840).

Almost surely, 2^229416398496 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 229416398496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345852460800).

229416398496 is an abundant number, since it is smaller than the sum of its proper divisors (462288523104).

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

229416398496 is a wasteful number, since it uses less digits than its factorization.

229416398496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7289 (or 7272 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 63.

The spelling of 229416398496 in words is "two hundred twenty-nine billion, four hundred sixteen million, three hundred ninety-eight thousand, four hundred ninety-six".