2315125324224 has 168 divisors, whose sum is σ = 6681537088512. Its totient is φ = 766406914560.

The previous prime is 2315125324219. The next prime is 2315125324271. The reversal of 2315125324224 is 4224235215132.

2315125324224 is a `hidden beast` number, since 2 + 31 + 51 + 2 + 532 + 42 + 2 + 4 = 666.

It is a super-2 number, since 2×2315125324224² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 138100867 + ... + 138117629.

Almost surely, 2^{2315125324224} is an apocalyptic number.

2315125324224 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 2315125324224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3340768544256).

2315125324224 is an abundant number, since it is smaller than the sum of its proper divisors (4366411764288).

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

2315125324224 is a wasteful number, since it uses less digits than its factorization.

2315125324224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18415 (or 18402 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The spelling of 2315125324224 in words is "two trillion, three hundred fifteen billion, one hundred twenty-five million, three hundred twenty-four thousand, two hundred twenty-four".