23434413000 has 128 divisors (see below), whose sum is σ = 73228821120. Its totient is φ = 6239481600.

The previous prime is 23434412987. The next prime is 23434413043. The reversal of 23434413000 is 31443432.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 2043282 + ... + 2054718.

It is an arithmetic number, because the mean of its divisors is an integer number (572100165).

Almost surely, 2^23434413000 is an apocalyptic number.

23434413000 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 23434413000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36614410560).

23434413000 is an abundant number, since it is smaller than the sum of its proper divisors (49794408120).

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

23434413000 is a wasteful number, since it uses less digits than its factorization.

23434413000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12144 (or 12130 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 23434413000 its reverse (31443432), we get a palindrome (23465856432).

The spelling of 23434413000 in words is "twenty-three billion, four hundred thirty-four million, four hundred thirteen thousand".