162126006705 has 64 divisors (see below), whose sum is σ = 318784273920. Its totient is φ = 77658663168.

The previous prime is 162126006689. The next prime is 162126006761. The reversal of 162126006705 is 507600621261.

It is a happy number.

162126006705 is a `hidden beast` number, since 1 + 621 + 26 + 0 + 0 + 6 + 7 + 0 + 5 = 666.

It is not a de Polignac number, because 162126006705 - 2⁴ = 162126006689 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 162126006705.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1183437 + ... + 1313306.

It is an arithmetic number, because the mean of its divisors is an integer number (4981004280).

Almost surely, 2^162126006705 is an apocalyptic number.

162126006705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

162126006705 is a deficient number, since it is larger than the sum of its proper divisors (156658267215).

162126006705 is a wasteful number, since it uses less digits than its factorization.

162126006705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496807 (or 2496801 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 162126006705 its reverse (507600621261), we get a palindrome (669726627966).

The spelling of 162126006705 in words is "one hundred sixty-two billion, one hundred twenty-six million, six thousand, seven hundred five".