23071765248 has 648 divisors, whose sum is σ = 83212343760. Its totient is φ = 6364624896.

The previous prime is 23071765231. The next prime is 23071765253. The reversal of 23071765248 is 84256717032.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

23071765248 is a `hidden beast` number, since 230 + 7 + 176 + 5 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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 71 ways as a sum of consecutive naturals, for example, 795578098 + ... + 795578126.

Almost surely, 2^23071765248 is an apocalyptic number.

23071765248 is a gapful number since it is divisible by the number (28) 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 23071765248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41606171880).

23071765248 is an abundant number, since it is smaller than the sum of its proper divisors (60140578512).

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

23071765248 is an frugal number, since it uses more digits than its factorization.

23071765248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 23071765248 in words is "twenty-three billion, seventy-one million, seven hundred sixty-five thousand, two hundred forty-eight".