44197066561536 has 1728 divisors, whose sum is σ = 163803055852800. Its totient is φ = 11648092667904.

The previous prime is 44197066561517. The next prime is 44197066561537. The reversal of 44197066561536 is 63516566079144.

It is a happy number.

44197066561536 is a `hidden beast` number, since 4 + 4 + 1 + 9 + 7 + 0 + 6 + 6 + 5 + 615 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44197066561537) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 53442643555 + ... + 53442644381.

It is an arithmetic number, because the mean of its divisors is an integer number (94793435100).

Almost surely, 2^{44197066561536} is an apocalyptic number.

44197066561536 is a gapful number since it is divisible by the number (46) 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 44197066561536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81901527926400).

44197066561536 is an abundant number, since it is smaller than the sum of its proper divisors (119605989291264).

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

44197066561536 is an equidigital number, since it uses as much as digits as its factorization.

44197066561536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 44197066561536 in words is "forty-four trillion, one hundred ninety-seven billion, sixty-six million, five hundred sixty-one thousand, five hundred thirty-six".