229271060528640 has 2560 divisors, whose sum is σ = 941934612326400. Its totient is φ = 52391517880320.

The previous prime is 229271060528623. The next prime is 229271060528669. The reversal of 229271060528640 is 46825060172922.

229271060528640 is a `hidden beast` number, since 2 + 2 + 9 + 2 + 7 + 1 + 0 + 605 + 28 + 6 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

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

It is a congruent number.

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 194132988850 + ... + 194132990030.

It is an arithmetic number, because the mean of its divisors is an integer number (367943207940).

Almost surely, 2^{229271060528640} is an apocalyptic number.

229271060528640 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 229271060528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470967306163200).

229271060528640 is an abundant number, since it is smaller than the sum of its proper divisors (712663551797760).

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

229271060528640 is a wasteful number, since it uses less digits than its factorization.

229271060528640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 229271060528640 in words is "two hundred twenty-nine trillion, two hundred seventy-one billion, sixty million, five hundred twenty-eight thousand, six hundred forty".