164286682461 has 64 divisors (see below), whose sum is σ = 269106278400. Its totient is φ = 98222716800.

The previous prime is 164286682453. The next prime is 164286682471.

164286682461 is a `hidden beast` number, since 1 + 6 + 42 + 8 + 66 + 82 + 461 = 666.

164286682461 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 164286682461 - 2³ = 164286682453 is a prime.

It is a super-2 number, since 2×164286682461² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 164286682398 and 164286682407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164286682411) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36858145 + ... + 36862601.

It is an arithmetic number, because the mean of its divisors is an integer number (4204785600).

Almost surely, 2^164286682461 is an apocalyptic number.

164286682461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164286682461 is a deficient number, since it is larger than the sum of its proper divisors (104819595939).

164286682461 is a wasteful number, since it uses less digits than its factorization.

164286682461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6127 (or 6121 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 164286682461 in words is "one hundred sixty-four billion, two hundred eighty-six million, six hundred eighty-two thousand, four hundred sixty-one".