4653116160 has 288 divisors, whose sum is σ = 18529039872. Its totient is φ = 966819840.

The previous prime is 4653116159. The next prime is 4653116183. The reversal of 4653116160 is 616113564.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287812 + ... + 303548.

It is an arithmetic number, because the mean of its divisors is an integer number (64336944).

Almost surely, 2^4653116160 is an apocalyptic number.

4653116160 is a gapful number since it is divisible by the number (40) 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 4653116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9264519936).

4653116160 is an abundant number, since it is smaller than the sum of its proper divisors (13875923712).

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

4653116160 is a wasteful number, since it uses less digits than its factorization.

4653116160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15779 (or 15765 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 4653116160 is about 68213.7534519249. The cubic root of 4653116160 is about 1669.4802977264.

The spelling of 4653116160 in words is "four billion, six hundred fifty-three million, one hundred sixteen thousand, one hundred sixty".