445455554544 has 960 divisors, whose sum is σ = 1777209584640. Its totient is φ = 103874918400.

The previous prime is 445455554497. The next prime is 445455554647.

445455554544 is a `hidden beast` number, since 4 + 4 + 5 + 4 + 5 + 55 + 545 + 44 = 666.

445455554544 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 175998559 + ... + 176001089.

It is an arithmetic number, because the mean of its divisors is an integer number (1851259984).

Almost surely, 2^445455554544 is an apocalyptic number.

445455554544 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 445455554544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888604792320).

445455554544 is an abundant number, since it is smaller than the sum of its proper divisors (1331754030096).

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

445455554544 is a wasteful number, since it uses less digits than its factorization.

445455554544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2627 (or 2604 counting only the distinct ones).

The product of its digits is 64000000, while the sum is 54.

It can be divided in two parts, 445455 and 554544, that added together give a palindrome (999999).

The spelling of 445455554544 in words is "four hundred forty-five billion, four hundred fifty-five million, five hundred fifty-four thousand, five hundred forty-four".