166524645141361 has 16 divisors (see below), whose sum is σ = 180135254754000. Its totient is φ = 153028696826880.

The previous prime is 166524645141319. The next prime is 166524645141523. The reversal of 166524645141361 is 163141546425661.

166524645141361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 113824232296336 + 52700412845025 = 10668844^2 + 7259505^2 .

It is a cyclic number.

It is not a de Polignac number, because 166524645141361 - 2¹³ = 166524645133169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (166524645141061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12632301 + ... + 22195141.

It is an arithmetic number, because the mean of its divisors is an integer number (11258453422125).

Almost surely, 2^{166524645141361} is an apocalyptic number.

It is an amenable number.

166524645141361 is a deficient number, since it is larger than the sum of its proper divisors (13610609612639).

166524645141361 is a wasteful number, since it uses less digits than its factorization.

166524645141361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9568836.

The product of its digits is 12441600, while the sum is 55.

The spelling of 166524645141361 in words is "one hundred sixty-six trillion, five hundred twenty-four billion, six hundred forty-five million, one hundred forty-one thousand, three hundred sixty-one".