4566114064512 has 1152 divisors, whose sum is σ = 17993764414080. Its totient is φ = 1081333186560.

The previous prime is 4566114064417. The next prime is 4566114064583. The reversal of 4566114064512 is 2154604116654.

4566114064512 is a `hidden beast` number, since 4 + 5 + 6 + 61 + 14 + 0 + 64 + 512 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1052825608 + ... + 1052829944.

It is an arithmetic number, because the mean of its divisors is an integer number (15619587165).

Almost surely, 2^{4566114064512} is an apocalyptic number.

4566114064512 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4566114064512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8996882207040).

4566114064512 is an abundant number, since it is smaller than the sum of its proper divisors (13427650349568).

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

4566114064512 is a wasteful number, since it uses less digits than its factorization.

4566114064512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4482 (or 4456 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 4566114064512 in words is "four trillion, five hundred sixty-six billion, one hundred fourteen million, sixty-four thousand, five hundred twelve".