229208074313856 has 512 divisors, whose sum is σ = 710034429312000. Its totient is φ = 64782313390080.

The previous prime is 229208074313819. The next prime is 229208074313857. The reversal of 229208074313856 is 658313470802922.

It is a super-2 number, since 2×229208074313856² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 229208074313856.

It is not an unprimeable number, because it can be changed into a prime (229208074313857) 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, 1664199811 + ... + 1664337533.

It is an arithmetic number, because the mean of its divisors is an integer number (1386785994750).

It is a 1-persistent number, because it is pandigital, but 2⋅229208074313856 = 458416148627712 is not.

Almost surely, 2^{229208074313856} 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 229208074313856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355017214656000).

229208074313856 is an abundant number, since it is smaller than the sum of its proper divisors (480826354998144).

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

229208074313856 is a wasteful number, since it uses less digits than its factorization.

229208074313856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138092 (or 138080 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 229208074313856 in words is "two hundred twenty-nine trillion, two hundred eight billion, seventy-four million, three hundred thirteen thousand, eight hundred fifty-six".