44132823144 has 48 divisors (see below), whose sum is σ = 121485857220. Its totient is φ = 14469776640.

The previous prime is 44132823101. The next prime is 44132823179.

44132823144 is a `hidden beast` number, since 4 + 413 + 2 + 8 + 231 + 4 + 4 = 666.

44132823144 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 28598192100 + 15534631044 = 169110^2 + 124638^2 .

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 junction number, because it is equal to n+sod(n) for n = 44132823099 and 44132823108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5019837 + ... + 5028620.

Almost surely, 2^44132823144 is an apocalyptic number.

It is an amenable number.

44132823144 is an abundant number, since it is smaller than the sum of its proper divisors (77353034076).

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

44132823144 is a wasteful number, since it uses less digits than its factorization.

44132823144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10048530 (or 10048523 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 44132823144 in words is "forty-four billion, one hundred thirty-two million, eight hundred twenty-three thousand, one hundred forty-four".