21911814144 has 600 divisors, whose sum is σ = 76124294400. Its totient is φ = 6210846720.

The previous prime is 21911814143. The next prime is 21911814157. The reversal of 21911814144 is 44141811912.

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 21911814099 and 21911814108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21911814143) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 277364697 + ... + 277364775.

It is an arithmetic number, because the mean of its divisors is an integer number (126873824).

Almost surely, 2^21911814144 is an apocalyptic number.

21911814144 is a gapful number since it is divisible by the number (24) 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 21911814144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38062147200).

21911814144 is an abundant number, since it is smaller than the sum of its proper divisors (54212480256).

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

21911814144 is an equidigital number, since it uses as much as digits as its factorization.

21911814144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 114 counting only the distinct ones).

The product of its digits is 9216, while the sum is 36.

The spelling of 21911814144 in words is "twenty-one billion, nine hundred eleven million, eight hundred fourteen thousand, one hundred forty-four".