666116511648 has 192 divisors, whose sum is σ = 2071387422720. Its totient is φ = 183414067200.

The previous prime is 666116511581. The next prime is 666116511659. The reversal of 666116511648 is 846115611666.

666116511648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×666116511648² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 666116511648.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4954173 + ... + 5086851.

It is an arithmetic number, because the mean of its divisors is an integer number (10788476160).

Almost surely, 2^666116511648 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 666116511648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1035693711360).

666116511648 is an abundant number, since it is smaller than the sum of its proper divisors (1405270911072).

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

666116511648 is a wasteful number, since it uses less digits than its factorization.

666116511648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132971 (or 132963 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The spelling of 666116511648 in words is "six hundred sixty-six billion, one hundred sixteen million, five hundred eleven thousand, six hundred forty-eight".