4481754816 has 504 divisors, whose sum is σ = 15774302208. Its totient is φ = 1117670400.

The previous prime is 4481754799. The next prime is 4481754817. The reversal of 4481754816 is 6184571844.

It is a super-2 number, since 2×4481754816² = 40172252461478387712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4481754817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 35289345 + ... + 35289471.

Almost surely, 2^4481754816 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 4481754816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7887151104).

4481754816 is an abundant number, since it is smaller than the sum of its proper divisors (11292547392).

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

4481754816 is a wasteful number, since it uses less digits than its factorization.

4481754816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 181 counting only the distinct ones).

The product of its digits is 860160, while the sum is 48.

The square root of 4481754816 is about 66945.9096285949. The cubic root of 4481754816 is about 1648.7293328198.

The spelling of 4481754816 in words is "four billion, four hundred eighty-one million, seven hundred fifty-four thousand, eight hundred sixteen".