3063114198144 has 1152 divisors, whose sum is σ = 12435693903360. Its totient is φ = 710664192000.

The previous prime is 3063114198143. The next prime is 3063114198149. The reversal of 3063114198144 is 4418914113603.

3063114198144 is a `hidden beast` number, since 3 + 0 + 6 + 311 + 4 + 198 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a self number, because there is not a number n which added to its sum of digits gives 3063114198144.

It is not an unprimeable number, because it can be changed into a prime (3063114198143) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 250227864 + ... + 250240104.

It is an arithmetic number, because the mean of its divisors is an integer number (10794873180).

Almost surely, 2^{3063114198144} 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 3063114198144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6217846951680).

3063114198144 is an abundant number, since it is smaller than the sum of its proper divisors (9372579705216).

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

3063114198144 is a wasteful number, since it uses less digits than its factorization.

3063114198144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12330 (or 12308 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 3063114198144 in words is "three trillion, sixty-three billion, one hundred fourteen million, one hundred ninety-eight thousand, one hundred forty-four".