229931918664 has 320 divisors, whose sum is σ = 692622316800. Its totient is φ = 63572640768.

The previous prime is 229931918641. The next prime is 229931918681. The reversal of 229931918664 is 466819139922.

It is a junction number, because it is equal to n+sod(n) for n = 229931918598 and 229931918607.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 241271212 + ... + 241272164.

It is an arithmetic number, because the mean of its divisors is an integer number (2164444740).

Almost surely, 2^229931918664 is an apocalyptic number.

229931918664 is a gapful number since it is divisible by the number (24) 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 229931918664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346311158400).

229931918664 is an abundant number, since it is smaller than the sum of its proper divisors (462690398136).

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

229931918664 is an equidigital number, since it uses as much as digits as its factorization.

229931918664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1097 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 60.

The spelling of 229931918664 in words is "two hundred twenty-nine billion, nine hundred thirty-one million, nine hundred eighteen thousand, six hundred sixty-four".