229614406560 has 960 divisors, whose sum is σ = 1033992013824. Its totient is φ = 46593792000.

The previous prime is 229614406523. The next prime is 229614406591. The reversal of 229614406560 is 65604416922.

229614406560 is a `hidden beast` number, since 2 + 2 + 96 + 1 + 440 + 65 + 60 = 666.

229614406560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 159 ways as a sum of consecutive naturals, for example, 42907885 + ... + 42913235.

Almost surely, 2^229614406560 is an apocalyptic number.

229614406560 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 229614406560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516996006912).

229614406560 is an abundant number, since it is smaller than the sum of its proper divisors (804377607264).

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

229614406560 is a wasteful number, since it uses less digits than its factorization.

229614406560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5439 (or 5422 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 229614406560 in words is "two hundred twenty-nine billion, six hundred fourteen million, four hundred six thousand, five hundred sixty".