23223223120032 has 288 divisors, whose sum is σ = 73768277681280. Its totient is φ = 7144343700480.

The previous prime is 23223223119973. The next prime is 23223223120073. The reversal of 23223223120032 is 23002132232232.

23223223120032 is a `hidden beast` number, since 2 + 3 + 22 + 322 + 312 + 0 + 0 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 23223223119978 and 23223223120005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 686471694 + ... + 686505522.

It is an arithmetic number, because the mean of its divisors is an integer number (256139853060).

Almost surely, 2^{23223223120032} 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 23223223120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36884138840640).

23223223120032 is an abundant number, since it is smaller than the sum of its proper divisors (50545054561248).

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

23223223120032 is a wasteful number, since it uses less digits than its factorization.

23223223120032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40658 (or 40638 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 23223223120032 its reverse (23002132232232), we get a palindrome (46225355352264).

The spelling of 23223223120032 in words is "twenty-three trillion, two hundred twenty-three billion, two hundred twenty-three million, one hundred twenty thousand, thirty-two".