166552464255661 has 48 divisors (see below), whose sum is σ = 191294756392320. Its totient is φ = 144714932208000.

The previous prime is 166552464255641. The next prime is 166552464255677.

166552464255661 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-166552464255661 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 166552464255593 and 166552464255602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166552464255641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1958776030 + ... + 1958861056.

It is an arithmetic number, because the mean of its divisors is an integer number (3985307424840).

Almost surely, 2^{166552464255661} is an apocalyptic number.

166552464255661 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

166552464255661 is a deficient number, since it is larger than the sum of its proper divisors (24742292136659).

166552464255661 is a wasteful number, since it uses less digits than its factorization.

166552464255661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90706 (or 90695 counting only the distinct ones).

The product of its digits is 311040000, while the sum is 64.

The spelling of 166552464255661 in words is "one hundred sixty-six trillion, five hundred fifty-two billion, four hundred sixty-four million, two hundred fifty-five thousand, six hundred sixty-one".