452766148641 has 27 divisors (see below), whose sum is σ = 657728489457. Its totient is φ = 300130949160.

The previous prime is 452766148591. The next prime is 452766148649. The reversal of 452766148641 is 146841667254.

The square root of 452766148641 is 672879.

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

452766148641 is a `hidden beast` number, since 4 + 52 + 76 + 6 + 1 + 486 + 41 = 666.

It is not a de Polignac number, because 452766148641 - 2¹⁵ = 452766115873 is a prime.

It is a super-2 number, since 2×452766148641² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (452766148649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 425931876 + ... + 425932938.

Almost surely, 2^452766148641 is an apocalyptic number.

452766148641 is the 672879-th square number.

452766148641 is the 336440-th centered octagonal number.

It is an amenable number.

452766148641 is a deficient number, since it is larger than the sum of its proper divisors (204962340816).

452766148641 is an frugal number, since it uses more digits than its factorization.

452766148641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2554 (or 1277 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 452766148641 in words is "four hundred fifty-two billion, seven hundred sixty-six million, one hundred forty-eight thousand, six hundred forty-one".