23034140500320 has 288 divisors, whose sum is σ = 79028943084000. Its totient is φ = 6109245407232.

The previous prime is 23034140500201. The next prime is 23034140500379. The reversal of 23034140500320 is 2300504143032.

23034140500320 is a `hidden beast` number, since 230 + 3 + 4 + 1 + 405 + 0 + 0 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2098012591 + ... + 2098023569.

It is an arithmetic number, because the mean of its divisors is an integer number (274406052375).

Almost surely, 2^{23034140500320} is an apocalyptic number.

23034140500320 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 23034140500320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39514471542000).

23034140500320 is an abundant number, since it is smaller than the sum of its proper divisors (55994802583680).

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

23034140500320 is a wasteful number, since it uses less digits than its factorization.

23034140500320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18742 (or 18731 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 23034140500320 its reverse (2300504143032), we get a palindrome (25334644643352).

The spelling of 23034140500320 in words is "twenty-three trillion, thirty-four billion, one hundred forty million, five hundred thousand, three hundred twenty".