24125234328 has 192 divisors, whose sum is σ = 73506888000. Its totient is φ = 7096771584.

The previous prime is 24125234321. The next prime is 24125234333. The reversal of 24125234328 is 82343252142.

24125234328 is a `hidden beast` number, since 2 + 41 + 252 + 343 + 28 = 666.

It is a Cunningham number, because it is equal to 155323²-1.

It is a super-2 number, since 2×24125234328² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 24125234292 and 24125234301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24125234321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2791518 + ... + 2800146.

It is an arithmetic number, because the mean of its divisors is an integer number (382848375).

Almost surely, 2^24125234328 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 24125234328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36753444000).

24125234328 is an abundant number, since it is smaller than the sum of its proper divisors (49381653672).

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

24125234328 is a wasteful number, since it uses less digits than its factorization.

24125234328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8786 (or 8779 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The spelling of 24125234328 in words is "twenty-four billion, one hundred twenty-five million, two hundred thirty-four thousand, three hundred twenty-eight".