233413143224000 has 224 divisors, whose sum is σ = 578896407498240. Its totient is φ = 93228254592000.

The previous prime is 233413143223987. The next prime is 233413143224011. The reversal of 233413143224000 is 422341314332.

It is a super-2 number, since 2×233413143224000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24781091291 + ... + 24781100709.

Almost surely, 2^{233413143224000} is an apocalyptic number.

233413143224000 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 233413143224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289448203749120).

233413143224000 is an abundant number, since it is smaller than the sum of its proper divisors (345483264274240).

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

233413143224000 is an equidigital number, since it uses as much as digits as its factorization.

233413143224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13664 (or 13644 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 233413143224000 its reverse (422341314332), we get a palindrome (233835484538332).

The spelling of 233413143224000 in words is "two hundred thirty-three trillion, four hundred thirteen billion, one hundred forty-three million, two hundred twenty-four thousand".