451217161000 has 64 divisors (see below), whose sum is σ = 1070312003280. Its totient is φ = 178014412800.

The previous prime is 451217160899. The next prime is 451217161001. The reversal of 451217161000 is 161712154.

It can be written as a sum of positive squares in 8 ways, for example, as 10796456836 + 440420704164 = 103906^2 + 663642^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 451217161000.

It is not an unprimeable number, because it can be changed into a prime (451217161001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3017529 + ... + 3163528.

Almost surely, 2^451217161000 is an apocalyptic number.

451217161000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

451217161000 is an abundant number, since it is smaller than the sum of its proper divisors (619094842280).

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

451217161000 is a wasteful number, since it uses less digits than its factorization.

451217161000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6181151 (or 6181137 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

Adding to 451217161000 its reverse (161712154), we get a palindrome (451378873154).

The spelling of 451217161000 in words is "four hundred fifty-one billion, two hundred seventeen million, one hundred sixty-one thousand".