4600116144 has 240 divisors, whose sum is σ = 15014143200. Its totient is φ = 1340333568.

The previous prime is 4600116137. The next prime is 4600116151. The reversal of 4600116144 is 4416110064.

4600116144 is a `hidden beast` number, since 4 + 600 + 1 + 16 + 1 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (4600116137) and next prime (4600116151).

It is a super-3 number, since 3×4600116144³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 47 ways as a sum of consecutive naturals, for example, 2026242 + ... + 2028510.

It is an arithmetic number, because the mean of its divisors is an integer number (62558930).

Almost surely, 2^4600116144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4600116144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7507071600).

4600116144 is an abundant number, since it is smaller than the sum of its proper divisors (10414027056).

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

4600116144 is a wasteful number, since it uses less digits than its factorization.

4600116144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337 (or 2306 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4600116144 is about 67824.1560507759. The cubic root of 4600116144 is about 1663.1174957877.

The spelling of 4600116144 in words is "four billion, six hundred million, one hundred sixteen thousand, one hundred forty-four".