233234496000 has 960 divisors, whose sum is σ = 926718579072. Its totient is φ = 55910400000.

The previous prime is 233234495987. The next prime is 233234496007. The reversal of 233234496000 is 694432332.

233234496000 is a `hidden beast` number, since 2 + 3 + 3 + 2 + 3 + 4 + 49 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233234496007) 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, 830015860 + ... + 830016140.

Almost surely, 2^233234496000 is an apocalyptic number.

233234496000 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 233234496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463359289536).

233234496000 is an abundant number, since it is smaller than the sum of its proper divisors (693484083072).

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

233234496000 is a wasteful number, since it uses less digits than its factorization.

233234496000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 233234496000 in words is "two hundred thirty-three billion, two hundred thirty-four million, four hundred ninety-six thousand".