4445189896896 has 560 divisors, whose sum is σ = 15876399576576. Its totient is φ = 1202288541696.

The previous prime is 4445189896859. The next prime is 4445189896913. The reversal of 4445189896896 is 6986989815444.

4445189896896 is a `hidden beast` number, since 4 + 4 + 4 + 518 + 9 + 8 + 9 + 6 + 8 + 96 = 666.

It is a super-2 number, since 2×4445189896896² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 80931075 + ... + 80985981.

Almost surely, 2^{4445189896896} is an apocalyptic number.

4445189896896 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 4445189896896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7938199788288).

4445189896896 is an abundant number, since it is smaller than the sum of its proper divisors (11431209679680).

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

4445189896896 is a wasteful number, since it uses less digits than its factorization.

4445189896896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55058 (or 55039 counting only the distinct ones).

The product of its digits is 4299816960, while the sum is 81.

The spelling of 4445189896896 in words is "four trillion, four hundred forty-five billion, one hundred eighty-nine million, eight hundred ninety-six thousand, eight hundred ninety-six".