445672276544 has 224 divisors, whose sum is σ = 1012965004800. Its totient is φ = 192689602560.

The previous prime is 445672276501. The next prime is 445672276547.

445672276544 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×445672276544³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 445672276544.

It is not an unprimeable number, because it can be changed into a prime (445672276547) 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, 619849817 + ... + 619850535.

It is an arithmetic number, because the mean of its divisors is an integer number (4522165200).

Almost surely, 2^445672276544 is an apocalyptic number.

445672276544 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 445672276544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (506482502400).

445672276544 is an abundant number, since it is smaller than the sum of its proper divisors (567292728256).

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

445672276544 is a wasteful number, since it uses less digits than its factorization.

445672276544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1171 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 56.

The spelling of 445672276544 in words is "four hundred forty-five billion, six hundred seventy-two million, two hundred seventy-six thousand, five hundred forty-four".