233364463332 has 288 divisors, whose sum is σ = 748656276480. Its totient is φ = 55613134080.

The previous prime is 233364463331. The next prime is 233364463337.

233364463332 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (233364463331) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14033719 + ... + 14050337.

It is an arithmetic number, because the mean of its divisors is an integer number (2599500960).

Almost surely, 2^233364463332 is an apocalyptic number.

233364463332 is a gapful number since it is divisible by the number (22) 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 233364463332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374328138240).

233364463332 is an abundant number, since it is smaller than the sum of its proper divisors (515291813148).

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

233364463332 is a wasteful number, since it uses less digits than its factorization.

233364463332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16831 (or 16822 counting only the distinct ones).

The product of its digits is 1679616, while the sum is 42.

It can be divided in two parts, 233364 and 463332, that added together give a palindrome (696696).

The spelling of 233364463332 in words is "two hundred thirty-three billion, three hundred sixty-four million, four hundred sixty-three thousand, three hundred thirty-two".