44631013644 has 144 divisors (see below), whose sum is σ = 134397023488. Its totient is φ = 12221725824.

The previous prime is 44631013633. The next prime is 44631013649.

44631013644 is a `hidden beast` number, since 4 + 4 + 6 + 3 + 1 + 0 + 1 + 3 + 644 = 666.

44631013644 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 44631013599 and 44631013608.

It is not an unprimeable number, because it can be changed into a prime (44631013649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 588987 + ... + 660429.

Almost surely, 2^44631013644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44631013644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67198511744).

44631013644 is an abundant number, since it is smaller than the sum of its proper divisors (89766009844).

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

44631013644 is a wasteful number, since it uses less digits than its factorization.

44631013644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71564 (or 71559 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

It can be divided in two parts, 446310 and 13644, that added together give a palindrome (459954).

The spelling of 44631013644 in words is "forty-four billion, six hundred thirty-one million, thirteen thousand, six hundred forty-four".