44169696144 has 160 divisors (see below), whose sum is σ = 145856378880. Its totient is φ = 12536208000.

The previous prime is 44169696121. The next prime is 44169696161.

44169696144 is a `hidden beast` number, since 4 + 4 + 16 + 9 + 6 + 9 + 614 + 4 = 666.

44169696144 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 408259 + ... + 504989.

It is an arithmetic number, because the mean of its divisors is an integer number (911602368).

Almost surely, 2^44169696144 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 44169696144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72928189440).

44169696144 is an abundant number, since it is smaller than the sum of its proper divisors (101686682736).

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

44169696144 is a wasteful number, since it uses less digits than its factorization.

44169696144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96906 (or 96894 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 44169696144 in words is "forty-four billion, one hundred sixty-nine million, six hundred ninety-six thousand, one hundred forty-four".