451347486976 has 81 divisors (see below), whose sum is σ = 909793665963. Its totient is φ = 223475535360.

The previous prime is 451347486959. The next prime is 451347486977. The reversal of 451347486976 is 679684743154.

The square root of 451347486976 is 671824.

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

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (451347486977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2139087511 + ... + 2139087721.

Almost surely, 2^451347486976 is an apocalyptic number.

451347486976 is the 671824-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451347486976

451347486976 is an abundant number, since it is smaller than the sum of its proper divisors (458446178987).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

451347486976 is an frugal number, since it uses more digits than its factorization.

451347486976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 412 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 64.

Multiplying 451347486976 by its sum of digits (64), we get a square (28886239166464 = 5374592²).

451347486976 divided by its sum of digits (64) gives a square (7052304484 = 83978²).

The spelling of 451347486976 in words is "four hundred fifty-one billion, three hundred forty-seven million, four hundred eighty-six thousand, nine hundred seventy-six".