44356011065344 has 256 divisors, whose sum is σ = 105155300966400. Its totient is φ = 18484435353600.

The previous prime is 44356011065339. The next prime is 44356011065369.

44356011065344 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (256).

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 44356011065294 and 44356011065303.

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 15 ways as a sum of consecutive naturals, for example, 212199409 + ... + 212408335.

It is an arithmetic number, because the mean of its divisors is an integer number (410762894400).

Almost surely, 2^{44356011065344} is an apocalyptic number.

44356011065344 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 44356011065344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52577650483200).

44356011065344 is an abundant number, since it is smaller than the sum of its proper divisors (60799289901056).

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

44356011065344 is a wasteful number, since it uses less digits than its factorization.

44356011065344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209018 (or 208990 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 46.

The spelling of 44356011065344 in words is "forty-four trillion, three hundred fifty-six billion, eleven million, sixty-five thousand, three hundred forty-four".