23200193664 has 192 divisors, whose sum is σ = 71469914880. Its totient is φ = 7483622400.

The previous prime is 23200193651. The next prime is 23200193671. The reversal of 23200193664 is 46639100232.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 952194 + ... + 976254.

It is an arithmetic number, because the mean of its divisors is an integer number (372239140).

Almost surely, 2^23200193664 is an apocalyptic number.

23200193664 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 23200193664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35734957440).

23200193664 is an abundant number, since it is smaller than the sum of its proper divisors (48269721216).

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

23200193664 is an equidigital number, since it uses as much as digits as its factorization.

23200193664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24121 (or 24097 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Adding to 23200193664 its reverse (46639100232), we get a palindrome (69839293896).

The spelling of 23200193664 in words is "twenty-three billion, two hundred million, one hundred ninety-three thousand, six hundred sixty-four".