10727164736145 has 80 divisors (see below), whose sum is σ = 22591225685952. Its totient is φ = 4800968807040.

The previous prime is 10727164736083. The next prime is 10727164736159. The reversal of 10727164736145 is 54163746172701.

10727164736145 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 7 + 16 + 4 + 7 + 3 + 614 + 5 = 666.

It is not a de Polignac number, because 10727164736145 - 2⁷ = 10727164736017 is a prime.

It is a super-2 number, since 2×10727164736145² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10727164736091 and 10727164736100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 92553367 + ... + 92669196.

Almost surely, 2^{10727164736145} is an apocalyptic number.

10727164736145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10727164736145 is an abundant number, since it is smaller than the sum of its proper divisors (11864060949807).

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

10727164736145 is a wasteful number, since it uses less digits than its factorization.

10727164736145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185222604 (or 185222595 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 10727164736145 in words is "ten trillion, seven hundred twenty-seven billion, one hundred sixty-four million, seven hundred thirty-six thousand, one hundred forty-five".