44642133452176 has 160 divisors (see below), whose sum is σ = 102136826262240. Its totient is φ = 18703343812608.

The previous prime is 44642133452171. The next prime is 44642133452197. The reversal of 44642133452176 is 67125433124644.

It can be written as a sum of positive squares in 16 ways, for example, as 29399168410000 + 15242965042176 = 5422100^2 + 3904224^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is not an unprimeable number, because it can be changed into a prime (44642133452171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95851420 + ... + 96316036.

It is an arithmetic number, because the mean of its divisors is an integer number (638355164139).

Almost surely, 2^{44642133452176} 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 44642133452176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51068413131120).

44642133452176 is an abundant number, since it is smaller than the sum of its proper divisors (57494692810064).

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

44642133452176 is a wasteful number, since it uses less digits than its factorization.

44642133452176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465621 (or 465615 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 52.

The spelling of 44642133452176 in words is "forty-four trillion, six hundred forty-two billion, one hundred thirty-three million, four hundred fifty-two thousand, one hundred seventy-six".