44216611661244 has 96 divisors (see below), whose sum is σ = 115607348752896. Its totient is φ = 13035254849280.

The previous prime is 44216611661191. The next prime is 44216611661251.

44216611661244 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 44216611661193 and 44216611661202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39957169 + ... + 41048855.

It is an arithmetic number, because the mean of its divisors is an integer number (1204243216176).

Almost surely, 2^{44216611661244} is an apocalyptic number.

44216611661244 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 44216611661244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57803674376448).

44216611661244 is an abundant number, since it is smaller than the sum of its proper divisors (71390737091652).

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

44216611661244 is a wasteful number, since it uses less digits than its factorization.

44216611661244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1100035 (or 1100033 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 48.

The spelling of 44216611661244 in words is "forty-four trillion, two hundred sixteen billion, six hundred eleven million, six hundred sixty-one thousand, two hundred forty-four".