4456336544 has 96 divisors (see below), whose sum is σ = 9737703360. Its totient is φ = 1990656000.

The previous prime is 4456336541. The next prime is 4456336603.

4456336544 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 4456336495 and 4456336504.

It is not an unprimeable number, because it can be changed into a prime (4456336541) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5794592 + ... + 5795360.

It is an arithmetic number, because the mean of its divisors is an integer number (101434410).

Almost surely, 2^4456336544 is an apocalyptic number.

4456336544 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 4456336544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4868851680).

4456336544 is an abundant number, since it is smaller than the sum of its proper divisors (5281366816).

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

4456336544 is a wasteful number, since it uses less digits than its factorization.

4456336544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 1046 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 44.

The square root of 4456336544 is about 66755.7978306005. The cubic root of 4456336544 is about 1645.6064988907.

The spelling of 4456336544 in words is "four billion, four hundred fifty-six million, three hundred thirty-six thousand, five hundred forty-four".