44865333356844 has 768 divisors, whose sum is σ = 149741208207360. Its totient is φ = 10082443714560.

The previous prime is 44865333356827. The next prime is 44865333356867.

44865333356844 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 1395093637 + ... + 1395125795.

It is an arithmetic number, because the mean of its divisors is an integer number (194975531520).

Almost surely, 2^{44865333356844} is an apocalyptic number.

44865333356844 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 44865333356844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74870604103680).

44865333356844 is an abundant number, since it is smaller than the sum of its proper divisors (104875874850516).

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

44865333356844 is a wasteful number, since it uses less digits than its factorization.

44865333356844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32350 (or 32348 counting only the distinct ones).

The product of its digits is 1194393600, while the sum is 66.

The spelling of 44865333356844 in words is "forty-four trillion, eight hundred sixty-five billion, three hundred thirty-three million, three hundred fifty-six thousand, eight hundred forty-four".