4814129984 has 28 divisors (see below), whose sum is σ = 9577152804. Its totient is φ = 2400989184.

The previous prime is 4814129981. The next prime is 4814129987. The reversal of 4814129984 is 4899214184.

It is an interprime number because it is at equal distance from previous prime (4814129981) and next prime (4814129987).

It can be written as a sum of positive squares in 2 ways, for example, as 1542289984 + 3271840000 = 39272^2 + 57200^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4814129981) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69329 + ... + 120144.

Almost surely, 2^4814129984 is an apocalyptic number.

It is an amenable number.

4814129984 is a deficient number, since it is larger than the sum of its proper divisors (4763022820).

4814129984 is a wasteful number, since it uses less digits than its factorization.

4814129984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189882 (or 189872 counting only the distinct ones).

The product of its digits is 663552, while the sum is 50.

The square root of 4814129984 is about 69383.9317421548. The cubic root of 4814129984 is about 1688.5189437887.

It can be divided in two parts, 48141 and 29984, that added together give a 7-th power (78125 = 5⁷).

The spelling of 4814129984 in words is "four billion, eight hundred fourteen million, one hundred twenty-nine thousand, nine hundred eighty-four".