445866668544 has 320 divisors, whose sum is σ = 1355421247488. Its totient is φ = 128923238400.

The previous prime is 445866668531. The next prime is 445866668551.

It is a happy number.

445866668544 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×445866668544² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (66).

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, 195468684 + ... + 195470964.

Almost surely, 2^445866668544 is an apocalyptic number.

445866668544 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 445866668544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677710623744).

445866668544 is an abundant number, since it is smaller than the sum of its proper divisors (909554578944).

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

445866668544 is a wasteful number, since it uses less digits than its factorization.

445866668544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2839 (or 2823 counting only the distinct ones).

The product of its digits is 530841600, while the sum is 66.

The spelling of 445866668544 in words is "four hundred forty-five billion, eight hundred sixty-six million, six hundred sixty-eight thousand, five hundred forty-four".