229805138880 has 672 divisors, whose sum is σ = 843873278976. Its totient is φ = 59497721856.

The previous prime is 229805138839. The next prime is 229805138897. The reversal of 229805138880 is 88831508922.

229805138880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 829621302 + ... + 829621578.

It is an arithmetic number, because the mean of its divisors is an integer number (1255763808).

Almost surely, 2^229805138880 is an apocalyptic number.

229805138880 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 229805138880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421936639488).

229805138880 is an abundant number, since it is smaller than the sum of its proper divisors (614068140096).

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

229805138880 is a wasteful number, since it uses less digits than its factorization.

229805138880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 229805138880 in words is "two hundred twenty-nine billion, eight hundred five million, one hundred thirty-eight thousand, eight hundred eighty".