451563226704 has 240 divisors, whose sum is σ = 1380798498240. Its totient is φ = 141260993280.

The previous prime is 451563226703. The next prime is 451563226783. The reversal of 451563226704 is 407622365154.

451563226704 is a `hidden beast` number, since 4 + 5 + 1 + 5 + 632 + 2 + 6 + 7 + 0 + 4 = 666.

It is a super-2 number, since 2×451563226704² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 451563226704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451563226703) 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 47 ways as a sum of consecutive naturals, for example, 16673334 + ... + 16700394.

It is an arithmetic number, because the mean of its divisors is an integer number (5753327076).

Almost surely, 2^451563226704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451563226704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690399249120).

451563226704 is an abundant number, since it is smaller than the sum of its proper divisors (929235271536).

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

451563226704 is a wasteful number, since it uses less digits than its factorization.

451563226704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27223 (or 27192 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 451563226704 in words is "four hundred fifty-one billion, five hundred sixty-three million, two hundred twenty-six thousand, seven hundred four".