166440311564517 has 32 divisors (see below), whose sum is σ = 253243757698560. Its totient is φ = 107960753862720.

The previous prime is 166440311564477. The next prime is 166440311564521. The reversal of 166440311564517 is 715465113044661.

166440311564517 is a `hidden beast` number, since 1 + 6 + 6 + 4 + 4 + 0 + 3 + 115 + 6 + 4 + 517 = 666.

166440311564517 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 166440311564517 - 2²² = 166440307370213 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166440311569517) 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, 393617467 + ... + 394040087.

It is an arithmetic number, because the mean of its divisors is an integer number (7913867428080).

Almost surely, 2^{166440311564517} is an apocalyptic number.

It is an amenable number.

166440311564517 is a deficient number, since it is larger than the sum of its proper divisors (86803446134043).

166440311564517 is a wasteful number, since it uses less digits than its factorization.

166440311564517 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816890 (or 816884 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 166440311564517 in words is "one hundred sixty-six trillion, four hundred forty billion, three hundred eleven million, five hundred sixty-four thousand, five hundred seventeen".