166436651652345 has 12 divisors (see below), whose sum is σ = 288490196197476. Its totient is φ = 88766214214560.

The previous prime is 166436651652289. The next prime is 166436651652353. The reversal of 166436651652345 is 543256156634661.

166436651652345 is a `hidden beast` number, since 1 + 6 + 6 + 4 + 3 + 6 + 65 + 1 + 6 + 523 + 45 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33696666643689 + 132739985008656 = 5804883^2 + 11521284^2 .

It is not a de Polignac number, because 166436651652345 - 2²¹ = 166436649555193 is a prime.

It is a super-3 number, since 3×166436651652345³ (a number of 44 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1849296129426 + ... + 1849296129515.

It is an arithmetic number, because the mean of its divisors is an integer number (24040849683123).

Almost surely, 2^{166436651652345} is an apocalyptic number.

166436651652345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

166436651652345 is a deficient number, since it is larger than the sum of its proper divisors (122053544545131).

166436651652345 is a wasteful number, since it uses less digits than its factorization.

166436651652345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3698592258952 (or 3698592258949 counting only the distinct ones).

The product of its digits is 279936000, while the sum is 63.

The spelling of 166436651652345 in words is "one hundred sixty-six trillion, four hundred thirty-six billion, six hundred fifty-one million, six hundred fifty-two thousand, three hundred forty-five".