23234949964800 has 2112 divisors, whose sum is σ = 103249920153600. Its totient is φ = 5007163392000.

The previous prime is 23234949964777. The next prime is 23234949964817. The reversal of 23234949964800 is 846994943232.

23234949964800 is a `hidden beast` number, since 2 + 3 + 2 + 3 + 4 + 9 + 499 + 64 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 6033482875 + ... + 6033486725.

It is an arithmetic number, because the mean of its divisors is an integer number (48887272800).

Almost surely, 2^{23234949964800} is an apocalyptic number.

23234949964800 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 23234949964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51624960076800).

23234949964800 is an abundant number, since it is smaller than the sum of its proper divisors (80014970188800).

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

23234949964800 is a wasteful number, since it uses less digits than its factorization.

23234949964800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3969 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 23234949964800 in words is "twenty-three trillion, two hundred thirty-four billion, nine hundred forty-nine million, nine hundred sixty-four thousand, eight hundred".