3068118144 has 576 divisors, whose sum is σ = 11459742840. Its totient is φ = 780337152.

The previous prime is 3068118089. The next prime is 3068118161. The reversal of 3068118144 is 4418118603.

It is a happy number.

3068118144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1835265600 + 1232852544 = 42840^2 + 35112^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-4 number, since 4×3068118144⁴ (a number of 39 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3068118099 and 3068118108.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27151432 + ... + 27151544.

Almost surely, 2^3068118144 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 3068118144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5729871420).

3068118144 is an abundant number, since it is smaller than the sum of its proper divisors (8391624696).

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

3068118144 is a wasteful number, since it uses less digits than its factorization.

3068118144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 3068118144 is about 55390.5961693860. The cubic root of 3068118144 is about 1453.0839071057.

The spelling of 3068118144 in words is "three billion, sixty-eight million, one hundred eighteen thousand, one hundred forty-four".