21230678448000 has 1536 divisors, whose sum is σ = 94924219852800. Its totient is φ = 4641631948800.

The previous prime is 21230678447971. The next prime is 21230678448011. The reversal of 21230678448000 is 84487603212.

It is a happy number.

21230678448000 is a `hidden beast` number, since 2 + 1 + 2 + 30 + 67 + 84 + 480 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 486842197 + ... + 486885803.

It is an arithmetic number, because the mean of its divisors is an integer number (61799622300).

Almost surely, 2^{21230678448000} is an apocalyptic number.

21230678448000 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 21230678448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47462109926400).

21230678448000 is an abundant number, since it is smaller than the sum of its proper divisors (73693541404800).

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

21230678448000 is a wasteful number, since it uses less digits than its factorization.

21230678448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43682 (or 43647 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 21230678448000 in words is "twenty-one trillion, two hundred thirty billion, six hundred seventy-eight million, four hundred forty-eight thousand".