451567000000 has 196 divisors, whose sum is σ = 1124769040272. Its totient is φ = 179872000000.

The previous prime is 451566999997. The next prime is 451567000007. The reversal of 451567000000 is 765154.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451567000007) 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 27 ways as a sum of consecutive naturals, for example, 280999197 + ... + 281000803.

Almost surely, 2^451567000000 is an apocalyptic number.

451567000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451567000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562384520136).

451567000000 is an abundant number, since it is smaller than the sum of its proper divisors (673202040272).

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

451567000000 is an frugal number, since it uses more digits than its factorization.

451567000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1930 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

Adding to 451567000000 its reverse (765154), we get a palindrome (451567765154).

The spelling of 451567000000 in words is "four hundred fifty-one billion, five hundred sixty-seven million", and thus it is an aban number.