23164146720 has 960 divisors, whose sum is σ = 99584432640. Its totient is φ = 4993228800.

The previous prime is 23164146689. The next prime is 23164146727. The reversal of 23164146720 is 2764146132.

23164146720 is a `hidden beast` number, since 2 + 3 + 1 + 641 + 4 + 6 + 7 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (23164146727) 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 159 ways as a sum of consecutive naturals, for example, 53744905 + ... + 53745335.

It is an arithmetic number, because the mean of its divisors is an integer number (103733784).

Almost surely, 2^23164146720 is an apocalyptic number.

23164146720 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 23164146720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49792216320).

23164146720 is an abundant number, since it is smaller than the sum of its proper divisors (76420285920).

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

23164146720 is a wasteful number, since it uses less digits than its factorization.

23164146720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 494 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 23164146720 in words is "twenty-three billion, one hundred sixty-four million, one hundred forty-six thousand, seven hundred twenty".