4516985088 has 864 divisors, whose sum is σ = 17999235072. Its totient is φ = 1094860800.

The previous prime is 4516985063. The next prime is 4516985089. The reversal of 4516985088 is 8805896154.

It is a happy number.

4516985088 is a `hidden beast` number, since 45 + 1 + 6 + 98 + 508 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4516985089) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 110170348 + ... + 110170388.

It is an arithmetic number, because the mean of its divisors is an integer number (20832448).

Almost surely, 2^4516985088 is an apocalyptic number.

4516985088 is a gapful number since it is divisible by the number (48) 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 4516985088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8999617536).

4516985088 is an abundant number, since it is smaller than the sum of its proper divisors (13482249984).

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

4516985088 is a wasteful number, since it uses less digits than its factorization.

4516985088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The square root of 4516985088 is about 67208.5194599613. The cubic root of 4516985088 is about 1653.0381841042.

The spelling of 4516985088 in words is "four billion, five hundred sixteen million, nine hundred eighty-five thousand, eighty-eight".