21145244254112 has 96 divisors (see below), whose sum is σ = 45740427171264. Its totient is φ = 9542682777600.

The previous prime is 21145244254051. The next prime is 21145244254163.

21145244254112 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27012743 + ... + 27784505.

It is an arithmetic number, because the mean of its divisors is an integer number (476462783034).

Almost surely, 2^{21145244254112} is an apocalyptic number.

21145244254112 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 21145244254112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22870213585632).

21145244254112 is an abundant number, since it is smaller than the sum of its proper divisors (24595182917152).

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

21145244254112 is a wasteful number, since it uses less digits than its factorization.

21145244254112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772342 (or 772334 counting only the distinct ones).

The product of its digits is 102400, while the sum is 38.

It can be divided in two parts, 2114524 and 4254112, that added together give a palindrome (6368636).

The spelling of 21145244254112 in words is "twenty-one trillion, one hundred forty-five billion, two hundred forty-four million, two hundred fifty-four thousand, one hundred twelve".