23132289024 has 288 divisors, whose sum is σ = 75751275600. Its totient is φ = 6741688320.

The previous prime is 23132289023. The next prime is 23132289053. The reversal of 23132289024 is 42098223132.

23132289024 is a `hidden beast` number, since 231 + 322 + 89 + 0 + 24 = 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 23132289024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23132289023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4550164 + ... + 4555244.

Almost surely, 2^23132289024 is an apocalyptic number.

23132289024 is a gapful number since it is divisible by the number (24) 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 23132289024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37875637800).

23132289024 is an abundant number, since it is smaller than the sum of its proper divisors (52618986576).

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

23132289024 is a wasteful number, since it uses less digits than its factorization.

23132289024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5141 (or 5118 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 23132289024 in words is "twenty-three billion, one hundred thirty-two million, two hundred eighty-nine thousand, twenty-four".