23400000000 has 540 divisors, whose sum is σ = 90911086266. Its totient is φ = 5760000000.

The previous prime is 23399999989. The next prime is 23400000007. The reversal of 23400000000 is 432.

It can be written as a sum of positive squares in 9 ways, for example, as 20337041664 + 3062958336 = 142608^2 + 55344^2 .

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

It is not an unprimeable number, because it can be changed into a prime (23400000007) by changing a digit.

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 53 ways as a sum of consecutive naturals, for example, 1799999994 + ... + 1800000006.

Almost surely, 2^23400000000 is an apocalyptic number.

23400000000 is a gapful number since it is divisible by the number (20) 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 23400000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45455543133).

23400000000 is an abundant number, since it is smaller than the sum of its proper divisors (67511086266).

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

23400000000 is an frugal number, since it uses more digits than its factorization.

23400000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 23 counting only the distinct ones).

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

Adding to 23400000000 its reverse (432), we get a palindrome (23400000432).

The spelling of 23400000000 in words is "twenty-three billion, four hundred million", and thus it is an aban number.