44454288245444 has 192 divisors, whose sum is σ = 100343169024000. Its totient is φ = 17080175548800.

The previous prime is 44454288245431. The next prime is 44454288245447.

44454288245444 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (44454288245447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1016982749 + ... + 1017026459.

It is an arithmetic number, because the mean of its divisors is an integer number (522620672000).

Almost surely, 2^{44454288245444} is an apocalyptic number.

44454288245444 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 44454288245444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50171584512000).

44454288245444 is an abundant number, since it is smaller than the sum of its proper divisors (55888880778556).

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

44454288245444 is a wasteful number, since it uses less digits than its factorization.

44454288245444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44679 (or 44663 counting only the distinct ones).

The product of its digits is 419430400, while the sum is 62.

The spelling of 44454288245444 in words is "forty-four trillion, four hundred fifty-four billion, two hundred eighty-eight million, two hundred forty-five thousand, four hundred forty-four".