229290871680 has 384 divisors, whose sum is σ = 857768184000. Its totient is φ = 56437714944.

The previous prime is 229290871673. The next prime is 229290871703. The reversal of 229290871680 is 86178092922.

229290871680 is a `hidden beast` number, since 229 + 290 + 8 + 71 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12645661 + ... + 12663779.

Almost surely, 2^229290871680 is an apocalyptic number.

229290871680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229290871680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428884092000).

229290871680 is an abundant number, since it is smaller than the sum of its proper divisors (628477312320).

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

229290871680 is a wasteful number, since it uses less digits than its factorization.

229290871680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18183 (or 18142 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 229290871680 in words is "two hundred twenty-nine billion, two hundred ninety million, eight hundred seventy-one thousand, six hundred eighty".