84444564241044 has 192 divisors, whose sum is σ = 258288872325120. Its totient is φ = 23347679604480.

The previous prime is 84444564241033. The next prime is 84444564241099. The reversal of 84444564241044 is 44014246544448.

84444564241044 is a `hidden beast` number, since 8 + 4 + 4 + 4 + 4 + 564 + 24 + 10 + 44 = 666.

84444564241044 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 625369024 + ... + 625504040.

It is an arithmetic number, because the mean of its divisors is an integer number (1345254543360).

Almost surely, 2^{84444564241044} is an apocalyptic number.

84444564241044 is a gapful number since it is divisible by the number (84) 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 84444564241044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129144436162560).

84444564241044 is an abundant number, since it is smaller than the sum of its proper divisors (173844308084076).

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

84444564241044 is a wasteful number, since it uses less digits than its factorization.

84444564241044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161755 (or 161747 counting only the distinct ones).

The product of its (nonzero) digits is 31457280, while the sum is 54.

The spelling of 84444564241044 in words is "eighty-four trillion, four hundred forty-four billion, five hundred sixty-four million, two hundred forty-one thousand, forty-four".