233221211872 has 144 divisors (see below), whose sum is σ = 544468626576. Its totient is φ = 97889792000.

The previous prime is 233221211857. The next prime is 233221211879. The reversal of 233221211872 is 278112122332.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233221211879) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3455247 + ... + 3522097.

It is an arithmetic number, because the mean of its divisors is an integer number (3781032129).

Almost surely, 2^233221211872 is an apocalyptic number.

233221211872 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 233221211872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272234313288).

233221211872 is an abundant number, since it is smaller than the sum of its proper divisors (311247414704).

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

233221211872 is a wasteful number, since it uses less digits than its factorization.

233221211872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66953 (or 66934 counting only the distinct ones).

The product of its digits is 16128, while the sum is 34.

The spelling of 233221211872 in words is "two hundred thirty-three billion, two hundred twenty-one million, two hundred eleven thousand, eight hundred seventy-two".