451676740761 has 27 divisors (see below), whose sum is σ = 663842215231. Its totient is φ = 295936175184.

The previous prime is 451676740747. The next prime is 451676740807. The reversal of 451676740761 is 167047676154.

The square root of 451676740761 is 672069.

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

451676740761 is a `hidden beast` number, since 4 + 516 + 7 + 67 + 4 + 0 + 7 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5928230025 + 445748510736 = 76995^2 + 667644^2 .

It is not a de Polignac number, because 451676740761 - 2¹⁷ = 451676609689 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 451676740698 and 451676740707.

It is not an unprimeable number, because it can be changed into a prime (451676780761) 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, 118954315 + ... + 118958111.

Almost surely, 2^451676740761 is an apocalyptic number.

451676740761 is the 672069-th square number.

451676740761 is the 336035-th centered octagonal number.

It is an amenable number.

451676740761 is a deficient number, since it is larger than the sum of its proper divisors (212165474470).

451676740761 is an frugal number, since it uses more digits than its factorization.

451676740761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7718 (or 3859 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 451676740761 in words is "four hundred fifty-one billion, six hundred seventy-six million, seven hundred forty thousand, seven hundred sixty-one".