661105166067 has 32 divisors (see below), whose sum is σ = 1008512655360. Its totient is φ = 427705077600.

The previous prime is 661105166053. The next prime is 661105166081. The reversal of 661105166067 is 760661501166.

661105166067 is a `hidden beast` number, since 6 + 6 + 1 + 10 + 516 + 60 + 67 = 666.

It is an interprime number because it is at equal distance from previous prime (661105166053) and next prime (661105166081).

It is not a de Polignac number, because 661105166067 - 2⁷ = 661105165939 is a prime.

It is not an unprimeable number, because it can be changed into a prime (661105164067) 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, 481309 + ... + 1246542.

It is an arithmetic number, because the mean of its divisors is an integer number (31516020480).

Almost surely, 2^661105166067 is an apocalyptic number.

661105166067 is a deficient number, since it is larger than the sum of its proper divisors (347407489293).

661105166067 is a wasteful number, since it uses less digits than its factorization.

661105166067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728280 (or 1728274 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 661105166067 in words is "six hundred sixty-one billion, one hundred five million, one hundred sixty-six thousand, sixty-seven".