4444361682048 has 512 divisors, whose sum is σ = 13399642080000. Its totient is φ = 1450039836672.

The previous prime is 4444361682043. The next prime is 4444361682049. The reversal of 4444361682048 is 8402861634444.

4444361682048 is a `hidden beast` number, since 4 + 4 + 4 + 436 + 168 + 2 + 0 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 4444361681985 and 4444361682003.

It is not an unprimeable number, because it can be changed into a prime (4444361682043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19578685711 + ... + 19578685937.

Almost surely, 2^{4444361682048} is an apocalyptic number.

4444361682048 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 4444361682048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6699821040000).

4444361682048 is an abundant number, since it is smaller than the sum of its proper divisors (8955280397952).

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

4444361682048 is a wasteful number, since it uses less digits than its factorization.

4444361682048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 14155776, while the sum is 54.

The spelling of 4444361682048 in words is "four trillion, four hundred forty-four billion, three hundred sixty-one million, six hundred eighty-two thousand, forty-eight".