229445916567840 has 1152 divisors, whose sum is σ = 954101805995520. Its totient is φ = 50971678507008.

The previous prime is 229445916567809. The next prime is 229445916567859. The reversal of 229445916567840 is 48765619544922.

229445916567840 is a `hidden beast` number, since 2 + 2 + 9 + 4 + 4 + 5 + 9 + 16 + 567 + 8 + 40 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9596621806 + ... + 9596645714.

It is an arithmetic number, because the mean of its divisors is an integer number (828213373260).

Almost surely, 2^{229445916567840} is an apocalyptic number.

229445916567840 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 229445916567840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477050902997760).

229445916567840 is an abundant number, since it is smaller than the sum of its proper divisors (724655889427680).

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

229445916567840 is a wasteful number, since it uses less digits than its factorization.

229445916567840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24936 (or 24916 counting only the distinct ones).

The product of its (nonzero) digits is 1045094400, while the sum is 72.

The spelling of 229445916567840 in words is "two hundred twenty-nine trillion, four hundred forty-five billion, nine hundred sixteen million, five hundred sixty-seven thousand, eight hundred forty".