23145045000 has 640 divisors, whose sum is σ = 93390105600. Its totient is φ = 4636800000.

The previous prime is 23145044999. The next prime is 23145045017. The reversal of 23145045000 is 54054132.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 33494655 + ... + 33495345.

It is an arithmetic number, because the mean of its divisors is an integer number (145922040).

Almost surely, 2^23145045000 is an apocalyptic number.

23145045000 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 23145045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46695052800).

23145045000 is an abundant number, since it is smaller than the sum of its proper divisors (70245060600).

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

23145045000 is a wasteful number, since it uses less digits than its factorization.

23145045000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

Adding to 23145045000 its reverse (54054132), we get a palindrome (23199099132).

The spelling of 23145045000 in words is "twenty-three billion, one hundred forty-five million, forty-five thousand".