445532235544 has 128 divisors (see below), whose sum is σ = 949556520000. Its totient is φ = 194122414080.

The previous prime is 445532235509. The next prime is 445532235559.

It is a happy number.

445532235544 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 445532235494 and 445532235503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416774242 + ... + 416775310.

Almost surely, 2^445532235544 is an apocalyptic number.

445532235544 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 445532235544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474778260000).

445532235544 is an abundant number, since it is smaller than the sum of its proper divisors (504024284456).

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

445532235544 is a wasteful number, since it uses less digits than its factorization.

445532235544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2141 (or 2137 counting only the distinct ones).

The product of its digits is 5760000, while the sum is 46.

The spelling of 445532235544 in words is "four hundred forty-five billion, five hundred thirty-two million, two hundred thirty-five thousand, five hundred forty-four".