23181146104320 has 960 divisors, whose sum is σ = 86573093967360. Its totient is φ = 5729851146240.

The previous prime is 23181146104313. The next prime is 23181146104379. The reversal of 23181146104320 is 2340164118132.

23181146104320 is a `hidden beast` number, since 2 + 3 + 1 + 8 + 1 + 1 + 4 + 610 + 4 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7427472360 + ... + 7427475480.

It is an arithmetic number, because the mean of its divisors is an integer number (90180306216).

Almost surely, 2^{23181146104320} is an apocalyptic number.

23181146104320 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 23181146104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43286546983680).

23181146104320 is an abundant number, since it is smaller than the sum of its proper divisors (63391947863040).

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

23181146104320 is an equidigital number, since it uses as much as digits as its factorization.

23181146104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3254 (or 3197 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 23181146104320 in words is "twenty-three trillion, one hundred eighty-one billion, one hundred forty-six million, one hundred four thousand, three hundred twenty".