3000563514144 has 288 divisors, whose sum is σ = 10110799835136. Its totient is φ = 825990151680.

The previous prime is 3000563514097. The next prime is 3000563514181. The reversal of 3000563514144 is 4414153650003.

3000563514144 is a `hidden beast` number, since 3 + 0 + 0 + 0 + 5 + 635 + 1 + 4 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 = 3000563514099 and 3000563514108.

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, 14080839 + ... + 14292345.

It is an arithmetic number, because the mean of its divisors is an integer number (35106943872).

Almost surely, 2^{3000563514144} 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 3000563514144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5055399917568).

3000563514144 is an abundant number, since it is smaller than the sum of its proper divisors (7110236320992).

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

3000563514144 is a wasteful number, since it uses less digits than its factorization.

3000563514144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211788 (or 211777 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 3000563514144 in words is "three trillion, five hundred sixty-three million, five hundred fourteen thousand, one hundred forty-four".