21166466112 has 252 divisors, whose sum is σ = 67508597520. Its totient is φ = 6335070720.

The previous prime is 21166466081. The next prime is 21166466119.

21166466112 is a `hidden beast` number, since 2 + 1 + 1 + 6 + 646 + 6 + 1 + 1 + 2 = 666.

21166466112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (21166466119) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5782939 + ... + 5786597.

It is an arithmetic number, because the mean of its divisors is an integer number (267891260).

Almost surely, 2^21166466112 is an apocalyptic number.

21166466112 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 21166466112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33754298760).

21166466112 is an abundant number, since it is smaller than the sum of its proper divisors (46342131408).

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

21166466112 is a wasteful number, since it uses less digits than its factorization.

21166466112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3782 (or 3758 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The spelling of 21166466112 in words is "twenty-one billion, one hundred sixty-six million, four hundred sixty-six thousand, one hundred twelve".