44349607968 has 96 divisors (see below), whose sum is σ = 118830499200. Its totient is φ = 14477838336.

The previous prime is 44349607931. The next prime is 44349607969. The reversal of 44349607968 is 86970694344.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (44349607969) by changing a digit.

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, 2887413 + ... + 2902731.

It is an arithmetic number, because the mean of its divisors is an integer number (1237817700).

Almost surely, 2^44349607968 is an apocalyptic number.

44349607968 is a gapful number since it is divisible by the number (48) 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 44349607968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59415249600).

44349607968 is an abundant number, since it is smaller than the sum of its proper divisors (74480891232).

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

44349607968 is a wasteful number, since it uses less digits than its factorization.

44349607968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15954 (or 15946 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 60.

The spelling of 44349607968 in words is "forty-four billion, three hundred forty-nine million, six hundred seven thousand, nine hundred sixty-eight".