44157168 has 120 divisors (see below), whose sum is σ = 137323056. Its totient is φ = 13132800.

The previous prime is 44157161. The next prime is 44157199. The reversal of 44157168 is 86175144.

It is a happy number.

44157168 is a `hidden beast` number, since 441 + 57 + 168 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44157161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96396 + ... + 96852.

Almost surely, 2^44157168 is an apocalyptic number.

44157168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44157168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68661528).

44157168 is an abundant number, since it is smaller than the sum of its proper divisors (93165888).

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

44157168 is a wasteful number, since it uses less digits than its factorization.

44157168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 534 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 44157168 is about 6645.0860039581. The cubic root of 44157168 is about 353.4546808390.

The spelling of 44157168 in words is "forty-four million, one hundred fifty-seven thousand, one hundred sixty-eight".