21714266112 has 576 divisors, whose sum is σ = 75290342400. Its totient is φ = 5501583360.

The previous prime is 21714266083. The next prime is 21714266117. The reversal of 21714266112 is 21166241712.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (21714266117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261617623 + ... + 261617705.

It is an arithmetic number, because the mean of its divisors is an integer number (130712400).

Almost surely, 2^21714266112 is an apocalyptic number.

21714266112 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 21714266112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37645171200).

21714266112 is an abundant number, since it is smaller than the sum of its proper divisors (53576076288).

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

21714266112 is a wasteful number, since it uses less digits than its factorization.

21714266112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 185 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The spelling of 21714266112 in words is "twenty-one billion, seven hundred fourteen million, two hundred sixty-six thousand, one hundred twelve".