445476674544 has 160 divisors (see below), whose sum is σ = 1288658377728. Its totient is φ = 131464320000.

The previous prime is 445476674521. The next prime is 445476674561.

445476674544 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3184537 + ... + 3321479.

Almost surely, 2^445476674544 is an apocalyptic number.

445476674544 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 445476674544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644329188864).

445476674544 is an abundant number, since it is smaller than the sum of its proper divisors (843181703184).

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

445476674544 is a wasteful number, since it uses less digits than its factorization.

445476674544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137127 (or 137121 counting only the distinct ones).

The product of its digits is 180633600, while the sum is 60.

The spelling of 445476674544 in words is "four hundred forty-five billion, four hundred seventy-six million, six hundred seventy-four thousand, five hundred forty-four".