451206564000 has 192 divisors, whose sum is σ = 1518104270592. Its totient is φ = 117069696000.

The previous prime is 451206563999. The next prime is 451206564007. The reversal of 451206564000 is 465602154.

It is not an unprimeable number, because it can be changed into a prime (451206564007) 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 31 ways as a sum of consecutive naturals, for example, 64116 + ... + 952115.

It is an arithmetic number, because the mean of its divisors is an integer number (7906793076).

Almost surely, 2^451206564000 is an apocalyptic number.

451206564000 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 451206564000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759052135296).

451206564000 is an abundant number, since it is smaller than the sum of its proper divisors (1066897706592).

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

451206564000 is a wasteful number, since it uses less digits than its factorization.

451206564000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016296 (or 1016278 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The spelling of 451206564000 in words is "four hundred fifty-one billion, two hundred six million, five hundred sixty-four thousand".