21345466454312 has 768 divisors, whose sum is σ = 56452827432960. Its totient is φ = 7357464576000.

The previous prime is 21345466454297. The next prime is 21345466454363.

21345466454312 is nontrivially palindromic in base 10.

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, 78765558737 + ... + 78765559007.

It is an arithmetic number, because the mean of its divisors is an integer number (73506285720).

Almost surely, 2^{21345466454312} is an apocalyptic number.

21345466454312 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 21345466454312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28226413716480).

21345466454312 is an abundant number, since it is smaller than the sum of its proper divisors (35107360978648).

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

21345466454312 is a wasteful number, since it uses less digits than its factorization.

21345466454312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 651 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 50.

It can be divided in two parts, 2134546 and 6454312, that added together give a palindrome (8588858).

The spelling of 21345466454312 in words is "twenty-one trillion, three hundred forty-five billion, four hundred sixty-six million, four hundred fifty-four thousand, three hundred twelve".