21714426144 has 72 divisors (see below), whose sum is σ = 61771525452. Its totient is φ = 7235665920.

The previous prime is 21714426103. The next prime is 21714426169. The reversal of 21714426144 is 44162441712.

21714426144 is a `hidden beast` number, since 2 + 1 + 71 + 442 + 6 + 144 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18882057744 + 2832368400 = 137412^2 + 53220^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 = 21714426099 and 21714426108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 956752 + ... + 979184.

Almost surely, 2^21714426144 is an apocalyptic number.

21714426144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21714426144 is an abundant number, since it is smaller than the sum of its proper divisors (40057099308).

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

21714426144 is a wasteful number, since it uses less digits than its factorization.

21714426144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25810 (or 25799 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

Adding to 21714426144 its reverse (44162441712), we get a palindrome (65876867856).

The spelling of 21714426144 in words is "twenty-one billion, seven hundred fourteen million, four hundred twenty-six thousand, one hundred forty-four".