44457675444 has 192 divisors, whose sum is σ = 142017146880. Its totient is φ = 11712055680.

The previous prime is 44457675413. The next prime is 44457675481.

It is a happy number.

44457675444 is a `hidden beast` number, since 4 + 44 + 57 + 6 + 7 + 544 + 4 = 666.

44457675444 is nontrivially palindromic in base 10.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11506657 + ... + 11510519.

It is an arithmetic number, because the mean of its divisors is an integer number (739672640).

Almost surely, 2^44457675444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44457675444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71008573440).

44457675444 is an abundant number, since it is smaller than the sum of its proper divisors (97559471436).

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

44457675444 is a wasteful number, since it uses less digits than its factorization.

44457675444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5067 (or 5059 counting only the distinct ones).

The product of its digits is 30105600, while the sum is 54.

The spelling of 44457675444 in words is "forty-four billion, four hundred fifty-seven million, six hundred seventy-five thousand, four hundred forty-four".