146223017937441 has 9 divisors (see below), whose sum is σ = 211211078309491. Its totient is φ = 97481987773752.

The previous prime is 146223017937433. The next prime is 146223017937463. The reversal of 146223017937441 is 144739710322641.

The square root of 146223017937441 is 12092271.

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

146223017937441 is a `hidden beast` number, since 1 + 4 + 6 + 2 + 23 + 0 + 179 + 3 + 7 + 441 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9000630011025 + 137222387926416 = 3000105^2 + 11714196^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 146223017937441 - 2³ = 146223017937433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (146223017932441) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34261435 + ... + 38292191.

Almost surely, 2^{146223017937441} is an apocalyptic number.

146223017937441 is the 12092271-st square number.

146223017937441 is the 6046136-th centered octagonal number.

It is an amenable number.

146223017937441 is a deficient number, since it is larger than the sum of its proper divisors (64988060372050).

146223017937441 is an frugal number, since it uses more digits than its factorization.

146223017937441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8061520 (or 4030760 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 146223017937441 in words is "one hundred forty-six trillion, two hundred twenty-three billion, seventeen million, nine hundred thirty-seven thousand, four hundred forty-one".