4689101160 has 192 divisors, whose sum is σ = 16173827280. Its totient is φ = 1174118400.

The previous prime is 4689101141. The next prime is 4689101201. The reversal of 4689101160 is 611019864.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 4548962916 + 140138244 = 67446^2 + 11838^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4289574 + ... + 4290666.

Almost surely, 2^4689101160 is an apocalyptic number.

4689101160 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 4689101160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8086913640).

4689101160 is an abundant number, since it is smaller than the sum of its proper divisors (11484726120).

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

4689101160 is a wasteful number, since it uses less digits than its factorization.

4689101160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1821 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 4689101160 is about 68477.0119091071. The cubic root of 4689101160 is about 1673.7729080485.

The spelling of 4689101160 in words is "four billion, six hundred eighty-nine million, one hundred one thousand, one hundred sixty".