445643346544 has 360 divisors, whose sum is σ = 1052804949504. Its totient is φ = 182345644800.

The previous prime is 445643346541. The next prime is 445643346593.

It is a happy number.

445643346544 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 445643346491 and 445643346500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445643346541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1451606839 + ... + 1451607145.

Almost surely, 2^445643346544 is an apocalyptic number.

445643346544 is a gapful number since it is divisible by the number (44) 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 445643346544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526402474752).

445643346544 is an abundant number, since it is smaller than the sum of its proper divisors (607161602960).

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

445643346544 is a wasteful number, since it uses less digits than its factorization.

445643346544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 437 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 52.

The spelling of 445643346544 in words is "four hundred forty-five billion, six hundred forty-three million, three hundred forty-six thousand, five hundred forty-four".