23161411728000 has 3072 divisors, whose sum is σ = 113182896153600. Its totient is φ = 4598415360000.

The previous prime is 23161411727959. The next prime is 23161411728001. The reversal of 23161411728000 is 82711416132.

23161411728000 is a `hidden beast` number, since 2 + 3 + 1 + 614 + 1 + 17 + 28 + 0 + 0 + 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 (23161411728001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4678125525 + ... + 4678130475.

It is an arithmetic number, because the mean of its divisors is an integer number (36843390675).

Almost surely, 2^{23161411728000} is an apocalyptic number.

23161411728000 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 23161411728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56591448076800).

23161411728000 is an abundant number, since it is smaller than the sum of its proper divisors (90021484425600).

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

23161411728000 is a wasteful number, since it uses less digits than its factorization.

23161411728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5033 (or 4998 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 23161411728000 in words is "twenty-three trillion, one hundred sixty-one billion, four hundred eleven million, seven hundred twenty-eight thousand".