3066056146944 has 672 divisors, whose sum is σ = 10565614510080. Its totient is φ = 871429570560.

The previous prime is 3066056146897. The next prime is 3066056146949. The reversal of 3066056146944 is 4496416506603.

3066056146944 is a `hidden beast` number, since 30 + 6 + 6 + 0 + 561 + 4 + 6 + 9 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3066056146949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16052649889 + ... + 16052650079.

It is an arithmetic number, because the mean of its divisors is an integer number (15722640640).

Almost surely, 2^{3066056146944} 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 3066056146944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5282807255040).

3066056146944 is an abundant number, since it is smaller than the sum of its proper divisors (7499558363136).

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

3066056146944 is an frugal number, since it uses more digits than its factorization.

3066056146944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 3066056146944 in words is "three trillion, sixty-six billion, fifty-six million, one hundred forty-six thousand, nine hundred forty-four".