4554020016 has 720 divisors, whose sum is σ = 17590838400. Its totient is φ = 1120863744.

The previous prime is 4554020011. The next prime is 4554020059. The reversal of 4554020016 is 6100204554.

4554020016 is a `hidden beast` number, since 455 + 4 + 0 + 200 + 1 + 6 = 666.

It is a super-3 number, since 3×4554020016³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4554020011) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 67970415 + ... + 67970481.

It is an arithmetic number, because the mean of its divisors is an integer number (24431720).

Almost surely, 2^4554020016 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 4554020016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8795419200).

4554020016 is an abundant number, since it is smaller than the sum of its proper divisors (13036818384).

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

4554020016 is a wasteful number, since it uses less digits than its factorization.

4554020016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 4554020016 is about 67483.4795783383. The cubic root of 4554020016 is about 1657.5436666697.

It can be divided in two parts, 45540 and 20016, that added together give a palindrome (65556).

The spelling of 4554020016 in words is "four billion, five hundred fifty-four million, twenty thousand, sixteen".