44433628467168 has 192 divisors, whose sum is σ = 118668026115072. Its totient is φ = 14554989895680.

The previous prime is 44433628467133. The next prime is 44433628467257. The reversal of 44433628467168 is 86176482633444.

It is a junction number, because it is equal to n+sod(n) for n = 44433628467099 and 44433628467108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7780355833 + ... + 7780361543.

It is an arithmetic number, because the mean of its divisors is an integer number (618062636016).

Almost surely, 2^{44433628467168} is an apocalyptic number.

44433628467168 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 44433628467168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59334013057536).

44433628467168 is an abundant number, since it is smaller than the sum of its proper divisors (74234397647904).

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

44433628467168 is a wasteful number, since it uses less digits than its factorization.

44433628467168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9657 (or 9649 counting only the distinct ones).

The product of its digits is 445906944, while the sum is 66.

The spelling of 44433628467168 in words is "forty-four trillion, four hundred thirty-three billion, six hundred twenty-eight million, four hundred sixty-seven thousand, one hundred sixty-eight".