21284111588448 has 48 divisors (see below), whose sum is σ = 58811360973120. Its totient is φ = 6721298395776.

The previous prime is 21284111588423. The next prime is 21284111588477. The reversal of 21284111588448 is 84488511148212.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×21284111588448² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 5834458590 + ... + 5834462237.

It is an arithmetic number, because the mean of its divisors is an integer number (1225236686940).

Almost surely, 2^{21284111588448} is an apocalyptic number.

It is an amenable number.

21284111588448 is an abundant number, since it is smaller than the sum of its proper divisors (37527249384672).

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

21284111588448 is a wasteful number, since it uses less digits than its factorization.

21284111588448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11668920859 (or 11668920851 counting only the distinct ones).

The product of its digits is 5242880, while the sum is 57.

The spelling of 21284111588448 in words is "twenty-one trillion, two hundred eighty-four billion, one hundred eleven million, five hundred eighty-eight thousand, four hundred forty-eight".