4606812288 has 192 divisors, whose sum is σ = 14738330880. Its totient is φ = 1371617280.

The previous prime is 4606812283. The next prime is 4606812323. The reversal of 4606812288 is 8822186064.

4606812288 is a `hidden beast` number, since 4 + 606 + 8 + 12 + 28 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (4606812283) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 459295 + ... + 469217.

It is an arithmetic number, because the mean of its divisors is an integer number (76762140).

Almost surely, 2^4606812288 is an apocalyptic number.

4606812288 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 4606812288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7369165440).

4606812288 is an abundant number, since it is smaller than the sum of its proper divisors (10131518592).

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

4606812288 is a wasteful number, since it uses less digits than its factorization.

4606812288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9987 (or 9972 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 4606812288 is about 67873.5021050189. The cubic root of 4606812288 is about 1663.9240750614.

The spelling of 4606812288 in words is "four billion, six hundred six million, eight hundred twelve thousand, two hundred eighty-eight".