146322315441 has 9 divisors (see below), whose sum is σ = 211356113241. Its totient is φ = 97547445252.

The previous prime is 146322315431. The next prime is 146322315457. The reversal of 146322315441 is 144513223641.

The square root of 146322315441 is 382521.

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

146322315441 is a `hidden beast` number, since 1 + 4 + 63 + 22 + 31 + 544 + 1 = 666.

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

It is not a de Polignac number, because 146322315441 - 2¹³ = 146322307249 is a prime.

It is a super-3 number, since 3×146322315441³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 146322315396 and 146322315405.

It is not an unprimeable number, because it can be changed into a prime (146322315431) 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 8 ways as a sum of consecutive naturals, for example, 1083810 + ... + 1211316.

Almost surely, 2^146322315441 is an apocalyptic number.

146322315441 is the 382521-st square number.

146322315441 is the 191261-st centered octagonal number.

It is an amenable number.

146322315441 is a deficient number, since it is larger than the sum of its proper divisors (65033797800).

146322315441 is an frugal number, since it uses more digits than its factorization.

146322315441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255020 (or 127510 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Multiplying 146322315441 by its sum of digits (36), we get a square (5267603355876 = 2295126²).

The spelling of 146322315441 in words is "one hundred forty-six billion, three hundred twenty-two million, three hundred fifteen thousand, four hundred forty-one".