4456996544 has 224 divisors, whose sum is σ = 12289536000. Its totient is φ = 1546997760.

The previous prime is 4456996507. The next prime is 4456996559.

4456996544 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 4456996544.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1856657 + ... + 1859055.

It is an arithmetic number, because the mean of its divisors is an integer number (54864000).

Almost surely, 2^4456996544 is an apocalyptic number.

4456996544 is a gapful number since it is divisible by the number (44) 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 4456996544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6144768000).

4456996544 is an abundant number, since it is smaller than the sum of its proper divisors (7832539456).

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

4456996544 is a wasteful number, since it uses less digits than its factorization.

4456996544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2471 (or 2461 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 56.

The square root of 4456996544 is about 66760.7410384277. The cubic root of 4456996544 is about 1645.6877350260.

The spelling of 4456996544 in words is "four billion, four hundred fifty-six million, nine hundred ninety-six thousand, five hundred forty-four".