451509226056 has 160 divisors (see below), whose sum is σ = 1446106970880. Its totient is φ = 128931264000.

The previous prime is 451509226039. The next prime is 451509226067. The reversal of 451509226056 is 650622905154.

451509226056 is a `hidden beast` number, since 4 + 5 + 15 + 0 + 9 + 22 + 605 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8460256 + ... + 8513456.

It is an arithmetic number, because the mean of its divisors is an integer number (9038168568).

Almost surely, 2^451509226056 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 451509226056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723053485440).

451509226056 is an abundant number, since it is smaller than the sum of its proper divisors (994597744824).

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

451509226056 is a wasteful number, since it uses less digits than its factorization.

451509226056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55097 (or 55084 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 451509226056 in words is "four hundred fifty-one billion, five hundred nine million, two hundred twenty-six thousand, fifty-six".