44541244214544 has 160 divisors (see below), whose sum is σ = 143546692423680. Its totient is φ = 11561962521600.

The previous prime is 44541244214503. The next prime is 44541244214603.

It is a happy number.

44541244214544 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×44541244214544² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 44541244214493 and 44541244214502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2201929 + ... + 9691799.

It is an arithmetic number, because the mean of its divisors is an integer number (897166827648).

Almost surely, 2^{44541244214544} is an apocalyptic number.

44541244214544 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 44541244214544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71773346211840).

44541244214544 is an abundant number, since it is smaller than the sum of its proper divisors (99005448209136).

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

44541244214544 is a wasteful number, since it uses less digits than its factorization.

44541244214544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7491509 (or 7491503 counting only the distinct ones).

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

It can be divided in two parts, 4454124 and 4214544, that added together give a palindrome (8668668).

The spelling of 44541244214544 in words is "forty-four trillion, five hundred forty-one billion, two hundred forty-four million, two hundred fourteen thousand, five hundred forty-four".