229956962574720 has 256 divisors, whose sum is σ = 753452606177280. Its totient is φ = 59612650905600.

The previous prime is 229956962574709. The next prime is 229956962574727. The reversal of 229956962574720 is 27475269659922.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229956962574727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80360869 + ... + 83173211.

It is an arithmetic number, because the mean of its divisors is an integer number (2943174242880).

Almost surely, 2^{229956962574720} is an apocalyptic number.

229956962574720 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 229956962574720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376726303088640).

229956962574720 is an abundant number, since it is smaller than the sum of its proper divisors (523495643602560).

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

229956962574720 is a wasteful number, since it uses less digits than its factorization.

229956962574720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2813553 (or 2813541 counting only the distinct ones).

The product of its (nonzero) digits is 2057529600, while the sum is 75.

The spelling of 229956962574720 in words is "two hundred twenty-nine trillion, nine hundred fifty-six billion, nine hundred sixty-two million, five hundred seventy-four thousand, seven hundred twenty".