445644446544 has 80 divisors (see below), whose sum is σ = 1395452322240. Its totient is φ = 135043770240.

The previous prime is 445644446479. The next prime is 445644446551.

445644446544 is a `hidden beast` number, since 4 + 4 + 56 + 4 + 4 + 4 + 46 + 544 = 666.

445644446544 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46885447 + ... + 46894950.

It is an arithmetic number, because the mean of its divisors is an integer number (17443154028).

Almost surely, 2^445644446544 is an apocalyptic number.

445644446544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

445644446544 is an abundant number, since it is smaller than the sum of its proper divisors (949807875696).

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

445644446544 is a wasteful number, since it uses less digits than its factorization.

445644446544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93780425 (or 93780413 counting only the distinct ones).

The product of its digits is 58982400, while the sum is 54.

The spelling of 445644446544 in words is "four hundred forty-five billion, six hundred forty-four million, four hundred forty-six thousand, five hundred forty-four".