4459894193664 has 480 divisors, whose sum is σ = 16428695162880. Its totient is φ = 1176232845312.

The previous prime is 4459894193663. The next prime is 4459894193731. The reversal of 4459894193664 is 4663914989544.

It is a happy number.

4459894193664 is a `hidden beast` number, since 4 + 45 + 9 + 89 + 419 + 36 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4459894193592 and 4459894193601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4459894193663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11124897 + ... + 11518815.

It is an arithmetic number, because the mean of its divisors is an integer number (34226448256).

Almost surely, 2^{4459894193664} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4459894193664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8214347581440).

4459894193664 is an abundant number, since it is smaller than the sum of its proper divisors (11968800969216).

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

4459894193664 is an equidigital number, since it uses as much as digits as its factorization.

4459894193664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393972 (or 393944 counting only the distinct ones).

The product of its digits is 806215680, while the sum is 72.

The spelling of 4459894193664 in words is "four trillion, four hundred fifty-nine billion, eight hundred ninety-four million, one hundred ninety-three thousand, six hundred sixty-four".