229655574760320 has 512 divisors, whose sum is σ = 815085032256000. Its totient is φ = 61111988011008.

The previous prime is 229655574760303. The next prime is 229655574760327. The reversal of 229655574760320 is 23067475556922.

229655574760320 is a `hidden beast` number, since 2 + 2 + 9 + 6 + 5 + 557 + 4 + 76 + 0 + 3 + 2 + 0 = 666.

229655574760320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (229655574760327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21090597436 + ... + 21090608324.

It is an arithmetic number, because the mean of its divisors is an integer number (1591962953625).

Almost surely, 2^{229655574760320} is an apocalyptic number.

229655574760320 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 229655574760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407542516128000).

229655574760320 is an abundant number, since it is smaller than the sum of its proper divisors (585429457495680).

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

229655574760320 is a wasteful number, since it uses less digits than its factorization.

229655574760320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13387 (or 13369 counting only the distinct ones).

The product of its (nonzero) digits is 190512000, while the sum is 63.

The spelling of 229655574760320 in words is "two hundred twenty-nine trillion, six hundred fifty-five billion, five hundred seventy-four million, seven hundred sixty thousand, three hundred twenty".