229116161232288 has 384 divisors, whose sum is σ = 755655868800000. Its totient is φ = 66900652600320.

The previous prime is 229116161232281. The next prime is 229116161232307. The reversal of 229116161232288 is 882232161611922.

229116161232288 is a `hidden beast` number, since 2 + 2 + 9 + 1 + 1 + 616 + 12 + 3 + 2 + 2 + 8 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (229116161232281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136699431 + ... + 138365337.

It is an arithmetic number, because the mean of its divisors is an integer number (1967853825000).

Almost surely, 2^{229116161232288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 229116161232288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377827934400000).

229116161232288 is an abundant number, since it is smaller than the sum of its proper divisors (526539707567712).

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

229116161232288 is a wasteful number, since it uses less digits than its factorization.

229116161232288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1666465 (or 1666451 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The spelling of 229116161232288 in words is "two hundred twenty-nine trillion, one hundred sixteen billion, one hundred sixty-one million, two hundred thirty-two thousand, two hundred eighty-eight".