233541145332 has 144 divisors (see below), whose sum is σ = 678154276800. Its totient is φ = 67020410880.

The previous prime is 233541145319. The next prime is 233541145363.

233541145332 is a `hidden beast` number, since 2 + 3 + 3 + 5 + 4 + 114 + 533 + 2 = 666.

233541145332 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32266818 + ... + 32274054.

It is an arithmetic number, because the mean of its divisors is an integer number (4709404700).

Almost surely, 2^233541145332 is an apocalyptic number.

233541145332 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 233541145332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339077138400).

233541145332 is an abundant number, since it is smaller than the sum of its proper divisors (444613131468).

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

233541145332 is a wasteful number, since it uses less digits than its factorization.

233541145332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11566 (or 11561 counting only the distinct ones).

The product of its digits is 129600, while the sum is 36.

It can be divided in two parts, 233541 and 145332, that added together give a palindrome (378873).

The spelling of 233541145332 in words is "two hundred thirty-three billion, five hundred forty-one million, one hundred forty-five thousand, three hundred thirty-two".