23313193444640 has 384 divisors, whose sum is σ = 61589503180800. Its totient is φ = 8268546908160.

The previous prime is 23313193444589. The next prime is 23313193444663. The reversal of 23313193444640 is 4644439131332.

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 63 ways as a sum of consecutive naturals, for example, 3560893847 + ... + 3560900393.

It is an arithmetic number, because the mean of its divisors is an integer number (160389331200).

Almost surely, 2^{23313193444640} is an apocalyptic number.

23313193444640 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 23313193444640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30794751590400).

23313193444640 is an abundant number, since it is smaller than the sum of its proper divisors (38276309736160).

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

23313193444640 is a wasteful number, since it uses less digits than its factorization.

23313193444640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6968 (or 6960 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 47.

The spelling of 23313193444640 in words is "twenty-three trillion, three hundred thirteen billion, one hundred ninety-three million, four hundred forty-four thousand, six hundred forty".