451014200030556 has 144 divisors (see below), whose sum is σ = 1206370315358208. Its totient is φ = 141849865180800.

The previous prime is 451014200030549. The next prime is 451014200030621. The reversal of 451014200030556 is 655030002410154.

451014200030556 is a `hidden beast` number, since 4 + 51 + 0 + 1 + 4 + 20 + 0 + 0 + 30 + 556 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 451014200030556.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18292621 + ... + 35166011.

It is an arithmetic number, because the mean of its divisors is an integer number (8377571634432).

Almost surely, 2^{451014200030556} 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 451014200030556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603185157679104).

451014200030556 is an abundant number, since it is smaller than the sum of its proper divisors (755356115327652).

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

451014200030556 is a wasteful number, since it uses less digits than its factorization.

451014200030556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16874032 (or 16874027 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 451014200030556 in words is "four hundred fifty-one trillion, fourteen billion, two hundred million, thirty thousand, five hundred fifty-six".