445434242434544 has 30 divisors (see below), whose sum is σ = 948618482213640. Its totient is φ = 202470110196640.

The previous prime is 445434242434541. The next prime is 445434242434667.

445434242434544 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×445434242434544² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 445434242434544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (445434242434541) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 115039833404 + ... + 115039837275.

It is an arithmetic number, because the mean of its divisors is an integer number (31620616073788).

Almost surely, 2^{445434242434544} is an apocalyptic number.

445434242434544 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

445434242434544 is an abundant number, since it is smaller than the sum of its proper divisors (503184239779096).

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

445434242434544 is a wasteful number, since it uses less digits than its factorization.

445434242434544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230079670709 (or 230079670692 counting only the distinct ones).

The product of its digits is 235929600, while the sum is 56.

The spelling of 445434242434544 in words is "four hundred forty-five trillion, four hundred thirty-four billion, two hundred forty-two million, four hundred thirty-four thousand, five hundred forty-four".