232468346880 has 2304 divisors, whose sum is σ = 1112712007680. Its totient is φ = 43411046400.

The previous prime is 232468346857. The next prime is 232468346909. The reversal of 232468346880 is 88643864232.

232468346880 is a `hidden beast` number, since 2 + 3 + 24 + 6 + 83 + 468 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×232468346880² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 4946135017 + ... + 4946135063.

It is an arithmetic number, because the mean of its divisors is an integer number (482947920).

Almost surely, 2^232468346880 is an apocalyptic number.

232468346880 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 232468346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556356003840).

232468346880 is an abundant number, since it is smaller than the sum of its proper divisors (880243660800).

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

232468346880 is a wasteful number, since it uses less digits than its factorization.

232468346880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 232468346880 in words is "two hundred thirty-two billion, four hundred sixty-eight million, three hundred forty-six thousand, eight hundred eighty".