166561144554456 has 96 divisors (see below), whose sum is σ = 470726154812160. Its totient is φ = 53105337590976.

The previous prime is 166561144554443. The next prime is 166561144554509. The reversal of 166561144554456 is 654455441165661.

166561144554456 is a `hidden beast` number, since 1 + 6 + 6 + 5 + 61 + 14 + 4 + 554 + 4 + 5 + 6 = 666.

166561144554456 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×166561144554456² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 166561144554393 and 166561144554402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79760461 + ... + 81822083.

It is an arithmetic number, because the mean of its divisors is an integer number (4903397445960).

Almost surely, 2^{166561144554456} is an apocalyptic number.

It is an amenable number.

166561144554456 is an abundant number, since it is smaller than the sum of its proper divisors (304165010257704).

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

166561144554456 is a wasteful number, since it uses less digits than its factorization.

166561144554456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2110445 (or 2110438 counting only the distinct ones).

The product of its digits is 207360000, while the sum is 63.

The spelling of 166561144554456 in words is "one hundred sixty-six trillion, five hundred sixty-one billion, one hundred forty-four million, five hundred fifty-four thousand, four hundred fifty-six".