21358444485312 has 224 divisors, whose sum is σ = 68509418073600. Its totient is φ = 6471180979200.

The previous prime is 21358444485263. The next prime is 21358444485347.

21358444485312 is a `hidden beast` number, since 2 + 1 + 3 + 584 + 4 + 4 + 4 + 8 + 53 + 1 + 2 = 666.

21358444485312 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118310637 + ... + 118491027.

It is an arithmetic number, because the mean of its divisors is an integer number (305845616400).

Almost surely, 2^{21358444485312} is an apocalyptic number.

21358444485312 is a gapful number since it is divisible by the number (22) 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 21358444485312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34254709036800).

21358444485312 is an abundant number, since it is smaller than the sum of its proper divisors (47150973588288).

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

21358444485312 is a wasteful number, since it uses less digits than its factorization.

21358444485312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186652 (or 186636 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 54.

The spelling of 21358444485312 in words is "twenty-one trillion, three hundred fifty-eight billion, four hundred forty-four million, four hundred eighty-five thousand, three hundred twelve".