2146145890729 has 27 divisors (see below), whose sum is σ = 2214724522647. Its totient is φ = 2079675670800.

The previous prime is 2146145890709. The next prime is 2146145890747. The reversal of 2146145890729 is 9270985416412.

The square root of 2146145890729 is 1464973.

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

It can be written as a sum of positive squares in only one way, i.e., 1547150384025 + 598995506704 = 1243845^2 + 773948^2 .

It is not a de Polignac number, because 2146145890729 - 2¹¹ = 2146145888681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2146145890709) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10171307434 + ... + 10171307644.

Almost surely, 2^{2146145890729} is an apocalyptic number.

2146145890729 is the 1464973-rd square number.

2146145890729 is the 732487-th centered octagonal number.

It is an amenable number.

2146145890729 is a deficient number, since it is larger than the sum of its proper divisors (68578631918).

2146145890729 is an frugal number, since it uses more digits than its factorization.

2146145890729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 58.

The spelling of 2146145890729 in words is "two trillion, one hundred forty-six billion, one hundred forty-five million, eight hundred ninety thousand, seven hundred twenty-nine".