162005146401 has 32 divisors (see below), whose sum is σ = 251130654720. Its totient is φ = 90975763584.

The previous prime is 162005146379. The next prime is 162005146441. The reversal of 162005146401 is 104641500261.

It is not a de Polignac number, because 162005146401 - 2⁶ = 162005146337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (162005146441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4122421 + ... + 4161533.

It is an arithmetic number, because the mean of its divisors is an integer number (7847832960).

Almost surely, 2^162005146401 is an apocalyptic number.

It is an amenable number.

162005146401 is a deficient number, since it is larger than the sum of its proper divisors (89125508319).

162005146401 is a wasteful number, since it uses less digits than its factorization.

162005146401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42525.

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 162005146401 its reverse (104641500261), we get a palindrome (266646646662).

The spelling of 162005146401 in words is "one hundred sixty-two billion, five million, one hundred forty-six thousand, four hundred one".