4611116160 has 640 divisors, whose sum is σ = 19158733440. Its totient is φ = 1035141120.

The previous prime is 4611116131. The next prime is 4611116171. The reversal of 4611116160 is 616111164.

It is a happy number.

4611116160 is a `hidden beast` number, since 46 + 1 + 1 + 1 + 1 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35199295 + ... + 35199425.

It is an arithmetic number, because the mean of its divisors is an integer number (29935521).

Almost surely, 2^4611116160 is an apocalyptic number.

4611116160 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 4611116160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9579366720).

4611116160 is an abundant number, since it is smaller than the sum of its proper divisors (14547617280).

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

4611116160 is a wasteful number, since it uses less digits than its factorization.

4611116160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 4611116160 is about 67905.1998008989. The cubic root of 4611116160 is about 1664.4420823670.

The spelling of 4611116160 in words is "four billion, six hundred eleven million, one hundred sixteen thousand, one hundred sixty".