229066718791680 has 3072 divisors, whose sum is σ = 1093564484812800. Its totient is φ = 44057198592000.

The previous prime is 229066718791661. The next prime is 229066718791727. The reversal of 229066718791680 is 86197817660922.

229066718791680 is a `hidden beast` number, since 229 + 0 + 6 + 67 + 187 + 9 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 229066718791599 and 229066718791608.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 15179020935 + ... + 15179036025.

It is an arithmetic number, because the mean of its divisors is an integer number (355978022400).

Almost surely, 2^{229066718791680} is an apocalyptic number.

229066718791680 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 229066718791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546782242406400).

229066718791680 is an abundant number, since it is smaller than the sum of its proper divisors (864497766021120).

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

229066718791680 is a wasteful number, since it uses less digits than its factorization.

229066718791680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15199 (or 15173 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 229066718791680 in words is "two hundred twenty-nine trillion, sixty-six billion, seven hundred eighteen million, seven hundred ninety-one thousand, six hundred eighty".