21043541116164 has 384 divisors, whose sum is σ = 60383171616768. Its totient is φ = 5574587166720.

The previous prime is 21043541116151. The next prime is 21043541116177. The reversal of 21043541116164 is 46161114534012.

It is an interprime number because it is at equal distance from previous prime (21043541116151) and next prime (21043541116177).

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 127 ways as a sum of consecutive naturals, for example, 3125429742 + ... + 3125436474.

It is an arithmetic number, because the mean of its divisors is an integer number (157247842752).

Almost surely, 2^{21043541116164} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21043541116164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30191585808384).

21043541116164 is an abundant number, since it is smaller than the sum of its proper divisors (39339630500604).

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

21043541116164 is a wasteful number, since it uses less digits than its factorization.

21043541116164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7187 (or 7185 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 21043541116164 in words is "twenty-one trillion, forty-three billion, five hundred forty-one million, one hundred sixteen thousand, one hundred sixty-four".