445624426544 has 160 divisors (see below), whose sum is σ = 998405740800. Its totient is φ = 190789114880.

The previous prime is 445624426523. The next prime is 445624426549.

It is a happy number.

445624426544 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×445624426544² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 445624426492 and 445624426501.

It is not an unprimeable number, because it can be changed into a prime (445624426549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48417047 + ... + 48426249.

It is an arithmetic number, because the mean of its divisors is an integer number (6240035880).

Almost surely, 2^445624426544 is an apocalyptic number.

445624426544 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 445624426544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499202870400).

445624426544 is an abundant number, since it is smaller than the sum of its proper divisors (552781314256).

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

445624426544 is a wasteful number, since it uses less digits than its factorization.

445624426544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9483 (or 9477 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 50.

The spelling of 445624426544 in words is "four hundred forty-five billion, six hundred twenty-four million, four hundred twenty-six thousand, five hundred forty-four".