23233200231312 has 640 divisors, whose sum is σ = 74790613094400. Its totient is φ = 6873121382400.

The previous prime is 23233200231301. The next prime is 23233200231331. The reversal of 23233200231312 is 21313200233232.

23233200231312 is a `hidden beast` number, since 2 + 3 + 2 + 3 + 320 + 0 + 23 + 1 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1138258387 + ... + 1138278797.

It is an arithmetic number, because the mean of its divisors is an integer number (116860332960).

Almost surely, 2^{23233200231312} 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 23233200231312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37395306547200).

23233200231312 is an abundant number, since it is smaller than the sum of its proper divisors (51557412863088).

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

23233200231312 is a wasteful number, since it uses less digits than its factorization.

23233200231312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20612 (or 20600 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 23233200231312 its reverse (21313200233232), we get a palindrome (44546400464544).

The spelling of 23233200231312 in words is "twenty-three trillion, two hundred thirty-three billion, two hundred million, two hundred thirty-one thousand, three hundred twelve".