23345038080 has 864 divisors, whose sum is σ = 102699717120. Its totient is φ = 4916920320.

The previous prime is 23345038021. The next prime is 23345038097. The reversal of 23345038080 is 8083054332.

23345038080 is a `hidden beast` number, since 233 + 45 + 0 + 380 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40884195 + ... + 40884765.

Almost surely, 2^23345038080 is an apocalyptic number.

23345038080 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 23345038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51349858560).

23345038080 is an abundant number, since it is smaller than the sum of its proper divisors (79354679040).

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

23345038080 is a wasteful number, since it uses less digits than its factorization.

23345038080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 23345038080 in words is "twenty-three billion, three hundred forty-five million, thirty-eight thousand, eighty".