44623103616 has 960 divisors, whose sum is σ = 173152554120. Its totient is φ = 10924720128.

The previous prime is 44623103611. The next prime is 44623103617. The reversal of 44623103616 is 61630132644.

44623103616 is a `hidden beast` number, since 4 + 4 + 6 + 2 + 31 + 0 + 3 + 616 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37651521600 + 6971582016 = 194040^2 + 83496^2 .

It is a super-3 number, since 3×44623103616³ (a number of 33 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (44623103611) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 611275356 + ... + 611275428.

Almost surely, 2^44623103616 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 44623103616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86576277060).

44623103616 is an abundant number, since it is smaller than the sum of its proper divisors (128529450504).

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

44623103616 is a wasteful number, since it uses less digits than its factorization.

44623103616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 44623103616 in words is "forty-four billion, six hundred twenty-three million, one hundred three thousand, six hundred sixteen".