23170912128 has 384 divisors, whose sum is σ = 83083553280. Its totient is φ = 6035116032.

The previous prime is 23170912123. The next prime is 23170912147. The reversal of 23170912128 is 82121907132.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 23170912092 and 23170912101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23170912123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8699725 + ... + 8702387.

It is an arithmetic number, because the mean of its divisors is an integer number (216363420).

Almost surely, 2^23170912128 is an apocalyptic number.

23170912128 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 23170912128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41541776640).

23170912128 is an abundant number, since it is smaller than the sum of its proper divisors (59912641152).

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

23170912128 is a wasteful number, since it uses less digits than its factorization.

23170912128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2786 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 23170912128 in words is "twenty-three billion, one hundred seventy million, nine hundred twelve thousand, one hundred twenty-eight".