21383838312 has 128 divisors (see below), whose sum is σ = 56596458240. Its totient is φ = 6723717120.

The previous prime is 21383838269. The next prime is 21383838313.

21383838312 is nontrivially palindromic in base 10.

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 (21383838313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6078378 + ... + 6081894.

It is an arithmetic number, because the mean of its divisors is an integer number (442159830).

Almost surely, 2^21383838312 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 21383838312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28298229120).

21383838312 is an abundant number, since it is smaller than the sum of its proper divisors (35212619928).

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

21383838312 is a wasteful number, since it uses less digits than its factorization.

21383838312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3771 (or 3767 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The spelling of 21383838312 in words is "twenty-one billion, three hundred eighty-three million, eight hundred thirty-eight thousand, three hundred twelve".