229742051059200 has 960 divisors, whose sum is σ = 818877356352000. Its totient is φ = 56567259463680.

The previous prime is 229742051059121. The next prime is 229742051059201. The reversal of 229742051059200 is 2950150247922.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 229742051059200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229742051059201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19604230941 + ... + 19604242659.

It is an arithmetic number, because the mean of its divisors is an integer number (852997246200).

Almost surely, 2^{229742051059200} is an apocalyptic number.

229742051059200 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 229742051059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409438678176000).

229742051059200 is an abundant number, since it is smaller than the sum of its proper divisors (589135305292800).

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

229742051059200 is a wasteful number, since it uses less digits than its factorization.

229742051059200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12335 (or 12314 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 48.

The spelling of 229742051059200 in words is "two hundred twenty-nine trillion, seven hundred forty-two billion, fifty-one million, fifty-nine thousand, two hundred".