451314500000 has 756 divisors, whose sum is σ = 1411834076730. Its totient is φ = 141523200000.

The previous prime is 451314499981. The next prime is 451314500011. The reversal of 451314500000 is 5413154.

It can be written as a sum of positive squares in 21 ways, for example, as 406018742416 + 45295757584 = 637196^2 + 212828^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 4140499946 + ... + 4140500054.

Almost surely, 2^451314500000 is an apocalyptic number.

451314500000 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 451314500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705917038365).

451314500000 is an abundant number, since it is smaller than the sum of its proper divisors (960519576730).

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

451314500000 is an equidigital number, since it uses as much as digits as its factorization.

451314500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 451314500000 its reverse (5413154), we get a palindrome (451319913154).

The spelling of 451314500000 in words is "four hundred fifty-one billion, three hundred fourteen million, five hundred thousand".