665514415566 has 512 divisors, whose sum is σ = 2108477952000. Its totient is φ = 149750415360.

The previous prime is 665514415537. The next prime is 665514415571.

665514415566 is a `hidden beast` number, since 6 + 6 + 55 + 14 + 4 + 15 + 566 = 666.

665514415566 is nontrivially palindromic in base 10.

665514415566 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 412593376 + ... + 412594988.

It is an arithmetic number, because the mean of its divisors is an integer number (4118121000).

Almost surely, 2^665514415566 is an apocalyptic number.

665514415566 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 665514415566, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054238976000).

665514415566 is an abundant number, since it is smaller than the sum of its proper divisors (1442963536434).

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

665514415566 is a wasteful number, since it uses less digits than its factorization.

665514415566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2121 (or 2115 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 54.

The spelling of 665514415566 in words is "six hundred sixty-five billion, five hundred fourteen million, four hundred fifteen thousand, five hundred sixty-six".