44514422441544 has 128 divisors (see below), whose sum is σ = 123701845161600. Its totient is φ = 13233822351360.

The previous prime is 44514422441501. The next prime is 44514422441549.

It is a happy number.

44514422441544 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 44514422441493 and 44514422441502.

It is not an unprimeable number, because it can be changed into a prime (44514422441549) 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 31 ways as a sum of consecutive naturals, for example, 226978152 + ... + 227174184.

It is an arithmetic number, because the mean of its divisors is an integer number (966420665325).

Almost surely, 2^{44514422441544} is an apocalyptic number.

44514422441544 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 44514422441544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61850922580800).

44514422441544 is an abundant number, since it is smaller than the sum of its proper divisors (79187422720056).

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

44514422441544 is a wasteful number, since it uses less digits than its factorization.

44514422441544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212335 (or 212331 counting only the distinct ones).

The product of its digits is 6553600, while the sum is 48.

It can be divided in two parts, 4451442 and 2441544, that added together give a palindrome (6892986).

The spelling of 44514422441544 in words is "forty-four trillion, five hundred fourteen billion, four hundred twenty-two million, four hundred forty-one thousand, five hundred forty-four".