23133334224000 has 2048 divisors, whose sum is σ = 105484675645440. Its totient is φ = 4328570880000.

The previous prime is 23133334223983. The next prime is 23133334224037. The reversal of 23133334224000 is 42243333132.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1969962129 + ... + 1969973871.

It is an arithmetic number, because the mean of its divisors is an integer number (51506189280).

Almost surely, 2^{23133334224000} is an apocalyptic number.

23133334224000 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 23133334224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52742337822720).

23133334224000 is an abundant number, since it is smaller than the sum of its proper divisors (82351341421440).

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

23133334224000 is a wasteful number, since it uses less digits than its factorization.

23133334224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11847 (or 11825 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 30.

Adding to 23133334224000 its reverse (42243333132), we get a palindrome (23175577557132).

The spelling of 23133334224000 in words is "twenty-three trillion, one hundred thirty-three billion, three hundred thirty-four million, two hundred twenty-four thousand".