445875578544 has 80 divisors (see below), whose sum is σ = 1290519544320. Its totient is φ = 131462081280.

The previous prime is 445875578531. The next prime is 445875578563.

445875578544 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11392104 + ... + 11431175.

It is an arithmetic number, because the mean of its divisors is an integer number (16131494304).

Almost surely, 2^445875578544 is an apocalyptic number.

445875578544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

445875578544 is an abundant number, since it is smaller than the sum of its proper divisors (844643965776).

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

445875578544 is a wasteful number, since it uses less digits than its factorization.

445875578544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22823338 (or 22823332 counting only the distinct ones).

The product of its digits is 501760000, while the sum is 66.

The spelling of 445875578544 in words is "four hundred forty-five billion, eight hundred seventy-five million, five hundred seventy-eight thousand, five hundred forty-four".