229093448064192 has 280 divisors, whose sum is σ = 695029094826000. Its totient is φ = 74574480605184.

The previous prime is 229093448064161. The next prime is 229093448064209. The reversal of 229093448064192 is 291460844390922.

229093448064192 is a `hidden beast` number, since 2 + 2 + 9 + 0 + 9 + 3 + 4 + 480 + 64 + 1 + 92 = 666.

It is a super-2 number, since 2×229093448064192² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1214553184 + ... + 1214741792.

Almost surely, 2^{229093448064192} 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 229093448064192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347514547413000).

229093448064192 is an abundant number, since it is smaller than the sum of its proper divisors (465935646761808).

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

229093448064192 is a wasteful number, since it uses less digits than its factorization.

229093448064192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194125 (or 194106 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 229093448064192 in words is "two hundred twenty-nine trillion, ninety-three billion, four hundred forty-eight million, sixty-four thousand, one hundred ninety-two".