4549291436448 has 864 divisors, whose sum is σ = 15586251145920. Its totient is φ = 1300694630400.

The previous prime is 4549291436381. The next prime is 4549291436449. The reversal of 4549291436448 is 8446341929454.

4549291436448 is a `hidden beast` number, since 4 + 5 + 49 + 2 + 9 + 143 + 6 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is not an unprimeable number, because it can be changed into a prime (4549291436449) 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, 7097178208 + ... + 7097178848.

It is an arithmetic number, because the mean of its divisors is an integer number (18039642530).

Almost surely, 2^{4549291436448} is an apocalyptic number.

4549291436448 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 4549291436448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7793125572960).

4549291436448 is an abundant number, since it is smaller than the sum of its proper divisors (11036959709472).

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

4549291436448 is a wasteful number, since it uses less digits than its factorization.

4549291436448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1073 counting only the distinct ones).

The product of its digits is 119439360, while the sum is 63.

The spelling of 4549291436448 in words is "four trillion, five hundred forty-nine billion, two hundred ninety-one million, four hundred thirty-six thousand, four hundred forty-eight".