21185458112 has 224 divisors, whose sum is σ = 53706979200. Its totient is φ = 8236892160.

The previous prime is 21185458103. The next prime is 21185458117.

21185458112 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21185458117) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 17407328 + ... + 17408544.

It is an arithmetic number, because the mean of its divisors is an integer number (239763300).

Almost surely, 2^21185458112 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 21185458112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26853489600).

21185458112 is an abundant number, since it is smaller than the sum of its proper divisors (32521521088).

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

21185458112 is a wasteful number, since it uses less digits than its factorization.

21185458112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1300 counting only the distinct ones).

The product of its digits is 25600, while the sum is 38.

The spelling of 21185458112 in words is "twenty-one billion, one hundred eighty-five million, four hundred fifty-eight thousand, one hundred twelve".