233123434000 has 80 divisors (see below), whose sum is σ = 564967054080. Its totient is φ = 93038524800.

The previous prime is 233123433989. The next prime is 233123434051. The reversal of 233123434000 is 434321332.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 754441 + ... + 1017559.

It is an arithmetic number, because the mean of its divisors is an integer number (7062088176).

Almost surely, 2^233123434000 is an apocalyptic number.

233123434000 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 233123434000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282483527040).

233123434000 is an abundant number, since it is smaller than the sum of its proper divisors (331843620080).

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

233123434000 is a wasteful number, since it uses less digits than its factorization.

233123434000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263585 (or 263569 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 233123434000 its reverse (434321332), we get a palindrome (233557755332).

The spelling of 233123434000 in words is "two hundred thirty-three billion, one hundred twenty-three million, four hundred thirty-four thousand".