484984002816 has 432 divisors, whose sum is σ = 1515126936960. Its totient is φ = 148738867200.

The previous prime is 484984002809. The next prime is 484984002817. The reversal of 484984002816 is 618200489484.

It is a happy number.

484984002816 is a `hidden beast` number, since 484 + 9 + 84 + 0 + 0 + 2 + 81 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (484984002817) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 616243575 + ... + 616244361.

It is an arithmetic number, because the mean of its divisors is an integer number (3507238280).

Almost surely, 2^484984002816 is an apocalyptic number.

484984002816 is a gapful number since it is divisible by the number (46) 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 484984002816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757563468480).

484984002816 is an abundant number, since it is smaller than the sum of its proper divisors (1030142934144).

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

484984002816 is a wasteful number, since it uses less digits than its factorization.

484984002816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1245 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 484984002816 in words is "four hundred eighty-four billion, nine hundred eighty-four million, two thousand, eight hundred sixteen".