672454121089 has 9 divisors (see below), whose sum is σ = 696466413097. Its totient is φ = 649243087024.

The previous prime is 672454121081. The next prime is 672454121099. The reversal of 672454121089 is 980121454276.

The square root of 672454121089 is 820033.

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 6911428225 + 665542692864 = 83135^2 + 815808^2 .

It is not a de Polignac number, because 672454121089 - 2³ = 672454121081 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (672454121081) 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, 23766819 + ... + 23795095.

Almost surely, 2^672454121089 is an apocalyptic number.

672454121089 is the 820033-rd square number.

672454121089 is the 410017-th centered octagonal number.

It is an amenable number.

672454121089 is a deficient number, since it is larger than the sum of its proper divisors (24012292008).

672454121089 is an frugal number, since it uses more digits than its factorization.

672454121089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56612 (or 28306 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 49.

Multiplying 672454121089 by its sum of digits (49), we get a square (32950251933361 = 5740231²).

The spelling of 672454121089 in words is "six hundred seventy-two billion, four hundred fifty-four million, one hundred twenty-one thousand, eighty-nine".