146368221561 has 15 divisors (see below), whose sum is σ = 218653968511. Its totient is φ = 97576518888.

The previous prime is 146368221553. The next prime is 146368221599. The reversal of 146368221561 is 165122863641.

The square root of 146368221561 is 382581.

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

146368221561 is a `hidden beast` number, since 1 + 4 + 6 + 3 + 6 + 82 + 2 + 1 + 561 = 666.

It can be written as a sum of positive squares in only one way, i.e., 139778029161 + 6590192400 = 373869^2 + 81180^2 .

It is not a de Polignac number, because 146368221561 - 2³ = 146368221553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (146368261561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3421975 + ... + 3464483.

Almost surely, 2^146368221561 is an apocalyptic number.

146368221561 is the 382581-st square number.

146368221561 is the 191291-st centered octagonal number.

It is an amenable number.

146368221561 is a deficient number, since it is larger than the sum of its proper divisors (72285746950).

146368221561 is an frugal number, since it uses more digits than its factorization.

146368221561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85030 (or 42512 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 146368221561 in words is "one hundred forty-six billion, three hundred sixty-eight million, two hundred twenty-one thousand, five hundred sixty-one".