21444250421349 has 192 divisors, whose sum is σ = 38379902112000. Its totient is φ = 11785163765760.

The previous prime is 21444250421329. The next prime is 21444250421369. The reversal of 21444250421349 is 94312405244412.

21444250421349 is a `hidden beast` number, since 2 + 1 + 4 + 4 + 4 + 2 + 504 + 2 + 134 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (21444250421329) and next prime (21444250421369).

It is not a de Polignac number, because 21444250421349 - 2²⁸ = 21443981985893 is a prime.

It is a super-2 number, since 2×21444250421349² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21444250421329) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16233345609 + ... + 16233346929.

It is an arithmetic number, because the mean of its divisors is an integer number (199895323500).

Almost surely, 2^{21444250421349} is an apocalyptic number.

21444250421349 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

21444250421349 is a deficient number, since it is larger than the sum of its proper divisors (16935651690651).

21444250421349 is a wasteful number, since it uses less digits than its factorization.

21444250421349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2705 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 21444250421349 in words is "twenty-one trillion, four hundred forty-four billion, two hundred fifty million, four hundred twenty-one thousand, three hundred forty-nine".