229354828416 has 576 divisors, whose sum is σ = 788531889600. Its totient is φ = 63781724160.

The previous prime is 229354828361. The next prime is 229354828447. The reversal of 229354828416 is 614828453922.

229354828416 is a `hidden beast` number, since 2 + 2 + 9 + 3 + 548 + 2 + 84 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 356694591 + ... + 356695233.

It is an arithmetic number, because the mean of its divisors is an integer number (1368978975).

Almost surely, 2^229354828416 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 229354828416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394265944800).

229354828416 is an abundant number, since it is smaller than the sum of its proper divisors (559177061184).

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

229354828416 is a wasteful number, since it uses less digits than its factorization.

229354828416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837 (or 815 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 229354828416 in words is "two hundred twenty-nine billion, three hundred fifty-four million, eight hundred twenty-eight thousand, four hundred sixteen".