23007434047488 has 1360 divisors, whose sum is σ = 80535256851456. Its totient is φ = 6474568826880.

The previous prime is 23007434047487. The next prime is 23007434047513. The reversal of 23007434047488 is 88474043470032.

23007434047488 is a `hidden beast` number, since 23 + 0 + 0 + 74 + 3 + 4 + 0 + 474 + 88 = 666.

It is a super-2 number, since 2×23007434047488² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23007434047487) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 49692081945 + ... + 49692082407.

Almost surely, 2^{23007434047488} 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 23007434047488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40267628425728).

23007434047488 is an abundant number, since it is smaller than the sum of its proper divisors (57527822803968).

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

23007434047488 is an equidigital number, since it uses as much as digits as its factorization.

23007434047488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 54.

The spelling of 23007434047488 in words is "twenty-three trillion, seven billion, four hundred thirty-four million, forty-seven thousand, four hundred eighty-eight".