23040000000000 has 627 divisors, whose sum is σ = 83199839604661. Its totient is φ = 6144000000000.

The previous prime is 23039999999971. The next prime is 23040000000071. The reversal of 23040000000000 is 4032.

The square root of 23040000000000 is 4800000.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 5 ways, for example, as 132519297024 + 22907480702976 = 364032^2 + 4786176^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 23040000000000.

It is an unprimeable number.

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 32 ways as a sum of consecutive naturals, for example, 4607999999998 + ... + 4608000000002.

Almost surely, 2^{23040000000000} is an apocalyptic number.

23040000000000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23040000000000 is the 4800000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23040000000000

23040000000000 is an abundant number, since it is smaller than the sum of its proper divisors (60159839604661).

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

23040000000000 is an frugal number, since it uses more digits than its factorization.

23040000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

Adding to 23040000000000 its reverse (4032), we get a palindrome (23040000004032).

The spelling of 23040000000000 in words is "twenty-three trillion, forty billion", and thus it is an aban number and an uban number.