44631648 has 120 divisors (see below), whose sum is σ = 133737912. Its totient is φ = 14598144.

The previous prime is 44631641. The next prime is 44631677. The reversal of 44631648 is 84613644.

44631648 is a `hidden beast` number, since 4 + 4 + 6 + 3 + 1 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44631641) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 173536 + ... + 173792.

Almost surely, 2^44631648 is an apocalyptic number.

44631648 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 44631648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66868956).

44631648 is an abundant number, since it is smaller than the sum of its proper divisors (89106264).

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

44631648 is a wasteful number, since it uses less digits than its factorization.

44631648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 329 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 44631648 is about 6680.6921797071. The cubic root of 44631648 is about 354.7161600768.

The spelling of 44631648 in words is "forty-four million, six hundred thirty-one thousand, six hundred forty-eight".