451553344000 has 160 divisors (see below), whose sum is σ = 1228339899072. Its totient is φ = 164200960000.

The previous prime is 451553343893. The next prime is 451553344007. The reversal of 451553344000 is 443355154.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (451553344007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383295 + ... + 1024705.

Almost surely, 2^451553344000 is an apocalyptic number.

451553344000 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 451553344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614169949536).

451553344000 is an abundant number, since it is smaller than the sum of its proper divisors (776786555072).

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

451553344000 is an equidigital number, since it uses as much as digits as its factorization.

451553344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641455 (or 641429 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 34.

Adding to 451553344000 its reverse (443355154), we get a palindrome (451996699154).

The spelling of 451553344000 in words is "four hundred fifty-one billion, five hundred fifty-three million, three hundred forty-four thousand".