451123125649 has 27 divisors (see below), whose sum is σ = 528338429307. Its totient is φ = 384069592368.

The previous prime is 451123125647. The next prime is 451123125671. The reversal of 451123125649 is 946521321154.

It is a happy number.

The square root of 451123125649 is 671657.

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., 420154165249 + 30968960400 = 648193^2 + 175980^2 .

It is not a de Polignac number, because 451123125649 - 2¹ = 451123125647 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (451123125647) 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, 1076665962 + ... + 1076666380.

Almost surely, 2^451123125649 is an apocalyptic number.

451123125649 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

451123125649 is the 671657-th square number.

451123125649 is the 335829-th centered octagonal number.

It is an amenable number.

451123125649 is a deficient number, since it is larger than the sum of its proper divisors (77215303658).

451123125649 is an frugal number, since it uses more digits than its factorization.

451123125649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 655 counting only the distinct ones).

The product of its digits is 259200, while the sum is 43.

The spelling of 451123125649 in words is "four hundred fifty-one billion, one hundred twenty-three million, one hundred twenty-five thousand, six hundred forty-nine".