162205146009 has 81 divisors (see below), whose sum is σ = 255387733783. Its totient is φ = 99185309184.

The previous prime is 162205146001. The next prime is 162205146023. The reversal of 162205146009 is 900641502261.

The square root of 162205146009 is 402747.

It is a perfect power (a square), and thus also a powerful number.

162205146009 is a `hidden beast` number, since 1 + 62 + 20 + 514 + 60 + 0 + 9 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 66872408409 + 95332737600 = 258597^2 + 308760^2 .

It is not a de Polignac number, because 162205146009 - 2³ = 162205146001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (162205146001) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1088625067 + ... + 1088625215.

Almost surely, 2^162205146009 is an apocalyptic number.

162205146009 is the 402747-th square number.

162205146009 is the 201374-th centered octagonal number.

It is an amenable number.

162205146009 is a deficient number, since it is larger than the sum of its proper divisors (93182587774).

162205146009 is an equidigital number, since it uses as much as digits as its factorization.

162205146009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 162205146009 by its sum of digits (36), we get a square (5839385256324 = 2416482²).

The spelling of 162205146009 in words is "one hundred sixty-two billion, two hundred five million, one hundred forty-six thousand, nine".