44682185146368 has 1728 divisors, whose sum is σ = 164942221086720. Its totient is φ = 10482635243520.

The previous prime is 44682185146367. The next prime is 44682185146381. The reversal of 44682185146368 is 86364158128644.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 44682185146299 and 44682185146308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44682185146367) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 145544576871 + ... + 145544577177.

It is an arithmetic number, because the mean of its divisors is an integer number (95452674240).

Almost surely, 2^{44682185146368} is an apocalyptic number.

44682185146368 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 44682185146368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82471110543360).

44682185146368 is an abundant number, since it is smaller than the sum of its proper divisors (120260035940352).

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

44682185146368 is a wasteful number, since it uses less digits than its factorization.

44682185146368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 372 counting only the distinct ones).

The product of its digits is 212336640, while the sum is 66.

The spelling of 44682185146368 in words is "forty-four trillion, six hundred eighty-two billion, one hundred eighty-five million, one hundred forty-six thousand, three hundred sixty-eight".