44638851168 has 336 divisors, whose sum is σ = 138449558016. Its totient is φ = 14133968640.

The previous prime is 44638851167. The next prime is 44638851223. The reversal of 44638851168 is 86115883644.

44638851168 is a `hidden beast` number, since 4 + 4 + 63 + 8 + 8 + 511 + 68 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44638851167) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 145403271 + ... + 145403577.

It is an arithmetic number, because the mean of its divisors is an integer number (412052256).

Almost surely, 2^44638851168 is an apocalyptic number.

44638851168 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 44638851168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69224779008).

44638851168 is an abundant number, since it is smaller than the sum of its proper divisors (93810706848).

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

44638851168 is a wasteful number, since it uses less digits than its factorization.

44638851168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 606 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The spelling of 44638851168 in words is "forty-four billion, six hundred thirty-eight million, eight hundred fifty-one thousand, one hundred sixty-eight".