229094097408 has 270 divisors, whose sum is σ = 727888302141. Its totient is φ = 69314150400.

The previous prime is 229094097361. The next prime is 229094097439. The reversal of 229094097408 is 804790490922.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

229094097408 is a `hidden beast` number, since 22 + 90 + 9 + 40 + 97 + 408 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 182458831104 + 46635266304 = 427152^2 + 215952^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=338448.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 357400768 + ... + 357401408.

Almost surely, 2^229094097408 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 229094097408

229094097408 is an abundant number, since it is smaller than the sum of its proper divisors (498794204733).

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

229094097408 is an frugal number, since it uses more digits than its factorization.

229094097408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 229094097408 in words is "two hundred twenty-nine billion, ninety-four million, ninety-seven thousand, four hundred eight".