23744013341680 has 160 divisors (see below), whose sum is σ = 60820107978240. Its totient is φ = 8580519889920.

The previous prime is 23744013341647. The next prime is 23744013341689. The reversal of 23744013341680 is 8614331044732.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 23744013341680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23744013341689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10545814 + ... + 12597706.

It is an arithmetic number, because the mean of its divisors is an integer number (380125674864).

Almost surely, 2^{23744013341680} is an apocalyptic number.

23744013341680 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 23744013341680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30410053989120).

23744013341680 is an abundant number, since it is smaller than the sum of its proper divisors (37076094636560).

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

23744013341680 is a wasteful number, since it uses less digits than its factorization.

23744013341680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052279 (or 2052273 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 46.

The spelling of 23744013341680 in words is "twenty-three trillion, seven hundred forty-four billion, thirteen million, three hundred forty-one thousand, six hundred eighty".