6445017144 has 48 divisors (see below), whose sum is σ = 17459562120. Its totient is φ = 2147808960.

The previous prime is 6445017127. The next prime is 6445017191. The reversal of 6445017144 is 4417105446.

It is a happy number.

6445017144 is a `hidden beast` number, since 6 + 4 + 4 + 501 + 7 + 144 = 666.

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 = 6445017099 and 6445017108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 376614 + ... + 393354.

Almost surely, 2^6445017144 is an apocalyptic number.

It is an amenable number.

6445017144 is an abundant number, since it is smaller than the sum of its proper divisors (11014544976).

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

6445017144 is a wasteful number, since it uses less digits than its factorization.

6445017144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22100 (or 22093 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 6445017144 is about 80280.8641209099. The cubic root of 6445017144 is about 1860.9785139199.

The spelling of 6445017144 in words is "six billion, four hundred forty-five million, seventeen thousand, one hundred forty-four".