44991648 has 144 divisors (see below), whose sum is σ = 140756616. Its totient is φ = 13547520.

The previous prime is 44991589. The next prime is 44991649. The reversal of 44991648 is 84619944.

It can be written as a sum of positive squares in 4 ways, for example, as 31945104 + 13046544 = 5652^2 + 3612^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (44991649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228286 + ... + 228482.

Almost surely, 2^44991648 is an apocalyptic number.

44991648 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 44991648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70378308).

44991648 is an abundant number, since it is smaller than the sum of its proper divisors (95764968).

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

44991648 is a wasteful number, since it uses less digits than its factorization.

44991648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 276 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 44991648 is about 6707.5813822868. The cubic root of 44991648 is about 355.6673237742.

The spelling of 44991648 in words is "forty-four million, nine hundred ninety-one thousand, six hundred forty-eight".