451585344001 has 9 divisors (see below), whose sum is σ = 496378792609. Its totient is φ = 410525410900.

The previous prime is 451585343899. The next prime is 451585344061. The reversal of 451585344001 is 100443585154.

The square root of 451585344001 is 672001.

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

It is not a de Polignac number, because 451585344001 - 2¹³ = 451585335809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (451585344061) 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, 7361466 + ... + 7422556.

Almost surely, 2^451585344001 is an apocalyptic number.

451585344001 is the 672001-st square number.

451585344001 is the 336001-st centered octagonal number.

It is an amenable number.

451585344001 is a deficient number, since it is larger than the sum of its proper divisors (44793448608).

451585344001 is an frugal number, since it uses more digits than its factorization.

451585344001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122204 (or 61102 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 40.

The spelling of 451585344001 in words is "four hundred fifty-one billion, five hundred eighty-five million, three hundred forty-four thousand, one".