229058482668288 has 1152 divisors, whose sum is σ = 783652081121280. Its totient is φ = 57769721856000.

The previous prime is 229058482668287. The next prime is 229058482668289. The reversal of 229058482668288 is 882866284850922.

It is an interprime number because it is at equal distance from previous prime (229058482668287) and next prime (229058482668289).

It is a Harshad number since it is a multiple of its sum of digits (78).

It is not an unprimeable number, because it can be changed into a prime (229058482668287) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 98181945970 + ... + 98181948302.

It is an arithmetic number, because the mean of its divisors is an integer number (680253542640).

Almost surely, 2^{229058482668288} is an apocalyptic number.

229058482668288 is a gapful number since it is divisible by the number (28) 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 229058482668288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391826040560640).

229058482668288 is an abundant number, since it is smaller than the sum of its proper divisors (554593598452992).

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

229058482668288 is a wasteful number, since it uses less digits than its factorization.

229058482668288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2845 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 3397386240, while the sum is 78.

The spelling of 229058482668288 in words is "two hundred twenty-nine trillion, fifty-eight billion, four hundred eighty-two million, six hundred sixty-eight thousand, two hundred eighty-eight".