233421234732 has 288 divisors, whose sum is σ = 711448920000. Its totient is φ = 65987066880.

The previous prime is 233421234691. The next prime is 233421234733. The reversal of 233421234732 is 237432124332.

233421234732 is a `hidden beast` number, since 2 + 334 + 21 + 234 + 73 + 2 = 666.

It is a super-2 number, since 2×233421234732² (a number of 24 digits) contains 22 as substring.

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

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 (233421234733) 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, 306729232 + ... + 306729992.

It is an arithmetic number, because the mean of its divisors is an integer number (2470308750).

Almost surely, 2^233421234732 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233421234732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355724460000).

233421234732 is an abundant number, since it is smaller than the sum of its proper divisors (478027685268).

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

233421234732 is a wasteful number, since it uses less digits than its factorization.

233421234732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1326 (or 1311 counting only the distinct ones).

The product of its digits is 145152, while the sum is 36.

The spelling of 233421234732 in words is "two hundred thirty-three billion, four hundred twenty-one million, two hundred thirty-four thousand, seven hundred thirty-two".