23013144000 has 1008 divisors, whose sum is σ = 104643972576. Its totient is φ = 4773888000.

The previous prime is 23013143983. The next prime is 23013144031. The reversal of 23013144000 is 44131032.

23013144000 is a `hidden beast` number, since 230 + 1 + 31 + 4 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 143 ways as a sum of consecutive naturals, for example, 38807704 + ... + 38808296.

Almost surely, 2^23013144000 is an apocalyptic number.

23013144000 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 23013144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52321986288).

23013144000 is an abundant number, since it is smaller than the sum of its proper divisors (81630828576).

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

23013144000 is a wasteful number, since it uses less digits than its factorization.

23013144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 23013144000 its reverse (44131032), we get a palindrome (23057275032).

The spelling of 23013144000 in words is "twenty-three billion, thirteen million, one hundred forty-four thousand".