23008614720 has 448 divisors, whose sum is σ = 91275749376. Its totient is φ = 4780892160.

The previous prime is 23008614683. The next prime is 23008614757. The reversal of 23008614720 is 2741680032.

It is an interprime number because it is at equal distance from previous prime (23008614683) and next prime (23008614757).

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

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, 5851155 + ... + 5855085.

It is an arithmetic number, because the mean of its divisors is an integer number (203740512).

Almost surely, 2^23008614720 is an apocalyptic number.

23008614720 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 23008614720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45637874688).

23008614720 is an abundant number, since it is smaller than the sum of its proper divisors (68267134656).

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

23008614720 is a wasteful number, since it uses less digits than its factorization.

23008614720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4038 (or 4028 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 23008614720 in words is "twenty-three billion, eight million, six hundred fourteen thousand, seven hundred twenty".