445262262544 has 80 divisors (see below), whose sum is σ = 965614446720. Its totient is φ = 197140608000.

The previous prime is 445262262527. The next prime is 445262262551.

445262262544 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 445262262494 and 445262262503.

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, 4504402 + ... + 4602190.

It is an arithmetic number, because the mean of its divisors is an integer number (12070180584).

Almost surely, 2^445262262544 is an apocalyptic number.

445262262544 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 445262262544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482807223360).

445262262544 is an abundant number, since it is smaller than the sum of its proper divisors (520352184176).

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

445262262544 is a wasteful number, since it uses less digits than its factorization.

445262262544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98480 (or 98474 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 46.

The spelling of 445262262544 in words is "four hundred forty-five billion, two hundred sixty-two million, two hundred sixty-two thousand, five hundred forty-four".