21344490144 has 192 divisors, whose sum is σ = 64734526080. Its totient is φ = 6921697536.

The previous prime is 21344490133. The next prime is 21344490169. The reversal of 21344490144 is 44109444312.

It is a happy number.

21344490144 is a `hidden beast` number, since 21 + 3 + 4 + 4 + 490 + 144 = 666.

It is a super-3 number, since 3×21344490144³ (a number of 32 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 21344490099 and 21344490108.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2585287 + ... + 2593529.

It is an arithmetic number, because the mean of its divisors is an integer number (337158990).

Almost surely, 2^21344490144 is an apocalyptic number.

21344490144 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 21344490144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32367263040).

21344490144 is an abundant number, since it is smaller than the sum of its proper divisors (43390035936).

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

21344490144 is an frugal number, since it uses more digits than its factorization.

21344490144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8311 (or 8285 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 21344490144 in words is "twenty-one billion, three hundred forty-four million, four hundred ninety thousand, one hundred forty-four".