146792440018849 has 9 divisors (see below), whose sum is σ = 147406996785369. Its totient is φ = 146180434967040.

The previous prime is 146792440018843. The next prime is 146792440018859. The reversal of 146792440018849 is 948810044297641.

The square root of 146792440018849 is 12115793.

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

It can be written as a sum of positive squares in 4 ways, for example, as 20841918437025 + 125950521581824 = 4565295^2 + 11222768^2 .

It is not a de Polignac number, because 146792440018849 - 2³³ = 146783850084257 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (146792440018843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2919880977 + ... + 2919931249.

Almost surely, 2^{146792440018849} is an apocalyptic number.

146792440018849 is the 12115793-rd square number.

146792440018849 is the 6057897-th centered octagonal number.

It is an amenable number.

146792440018849 is a deficient number, since it is larger than the sum of its proper divisors (614556766520).

146792440018849 is an frugal number, since it uses more digits than its factorization.

146792440018849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101028 (or 50514 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 67.

The spelling of 146792440018849 in words is "one hundred forty-six trillion, seven hundred ninety-two billion, four hundred forty million, eighteen thousand, eight hundred forty-nine".