23240045372544 has 1728 divisors, whose sum is σ = 95902130001600. Its totient is φ = 5329222778880.

The previous prime is 23240045372543. The next prime is 23240045372569. The reversal of 23240045372544 is 44527354004232.

It is a happy number.

23240045372544 is a `hidden beast` number, since 2 + 32 + 4 + 0 + 0 + 4 + 5 + 3 + 72 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 23240045372544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23240045372543) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 2413542322 + ... + 2413551950.

It is an arithmetic number, because the mean of its divisors is an integer number (55498917825).

Almost surely, 2^{23240045372544} is an apocalyptic number.

23240045372544 is a gapful number since it is divisible by the number (24) 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 23240045372544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47951065000800).

23240045372544 is an abundant number, since it is smaller than the sum of its proper divisors (72662084629056).

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

23240045372544 is a wasteful number, since it uses less digits than its factorization.

23240045372544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9723 (or 9688 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 45.

Adding to 23240045372544 its reverse (44527354004232), we get a palindrome (67767399376776).

The spelling of 23240045372544 in words is "twenty-three trillion, two hundred forty billion, forty-five million, three hundred seventy-two thousand, five hundred forty-four".