451364989006080 has 4032 divisors, whose sum is σ = 1849709786996736. Its totient is φ = 104915533824000.

The previous prime is 451364989006013. The next prime is 451364989006091. The reversal of 451364989006080 is 80600989463154.

451364989006080 is a `hidden beast` number, since 4 + 5 + 1 + 3 + 6 + 498 + 9 + 0 + 0 + 60 + 80 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 451364989005999 and 451364989006017.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 1229877354057 + ... + 1229877354423.

It is an arithmetic number, because the mean of its divisors is an integer number (458757387648).

Almost surely, 2^{451364989006080} is an apocalyptic number.

451364989006080 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 451364989006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (924854893498368).

451364989006080 is an abundant number, since it is smaller than the sum of its proper divisors (1398344797990656).

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

451364989006080 is a wasteful number, since it uses less digits than its factorization.

451364989006080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 451364989006080 in words is "four hundred fifty-one trillion, three hundred sixty-four billion, nine hundred eighty-nine million, six thousand, eighty".