4512741984 has 240 divisors, whose sum is σ = 14301967680. Its totient is φ = 1391281920.

The previous prime is 4512741983. The next prime is 4512742001. The reversal of 4512741984 is 4891472154.

4512741984 is a `hidden beast` number, since 4 + 512 + 7 + 41 + 98 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4512741983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2116599 + ... + 2118729.

It is an arithmetic number, because the mean of its divisors is an integer number (59591532).

Almost surely, 2^4512741984 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 4512741984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7150983840).

4512741984 is an abundant number, since it is smaller than the sum of its proper divisors (9789225696).

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

4512741984 is a wasteful number, since it uses less digits than its factorization.

4512741984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2215 (or 2198 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 4512741984 is about 67176.9453309690. The cubic root of 4512741984 is about 1652.5204191065.

It can be divided in two parts, 4512 and 741984, that added together give a square (746496 = 864²).

The spelling of 4512741984 in words is "four billion, five hundred twelve million, seven hundred forty-one thousand, nine hundred eighty-four".