21612834048 has 216 divisors, whose sum is σ = 63020280960. Its totient is φ = 6571868160.

The previous prime is 21612834041. The next prime is 21612834049. The reversal of 21612834048 is 84043821612.

It is a super-2 number, since 2×21612834048² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 21612833997 and 21612834015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21612834041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11550553 + ... + 11552423.

It is an arithmetic number, because the mean of its divisors is an integer number (291760560).

Almost surely, 2^21612834048 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 21612834048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31510140480).

21612834048 is an abundant number, since it is smaller than the sum of its proper divisors (41407446912).

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

21612834048 is a wasteful number, since it uses less digits than its factorization.

21612834048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2005 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The spelling of 21612834048 in words is "twenty-one billion, six hundred twelve million, eight hundred thirty-four thousand, forty-eight".