229832061290832 has 1280 divisors, whose sum is σ = 810212143104000. Its totient is φ = 54214272000000.

The previous prime is 229832061290801. The next prime is 229832061290849. The reversal of 229832061290832 is 238092160238922.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 460585292919 + ... + 460585293417.

It is an arithmetic number, because the mean of its divisors is an integer number (632978236800).

Almost surely, 2^{229832061290832} is an apocalyptic number.

229832061290832 is a gapful number since it is divisible by the number (22) 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 229832061290832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405106071552000).

229832061290832 is an abundant number, since it is smaller than the sum of its proper divisors (580380081813168).

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

229832061290832 is a wasteful number, since it uses less digits than its factorization.

229832061290832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1178 counting only the distinct ones).

The product of its (nonzero) digits is 8957952, while the sum is 57.

The spelling of 229832061290832 in words is "two hundred twenty-nine trillion, eight hundred thirty-two billion, sixty-one million, two hundred ninety thousand, eight hundred thirty-two".