451134229000 has 384 divisors, whose sum is σ = 1358281098720. Its totient is φ = 138910464000.

The previous prime is 451134228983. The next prime is 451134229009. The reversal of 451134229000 is 922431154.

It can be written as a sum of positive squares in 16 ways, for example, as 11122233444 + 440011995556 = 105462^2 + 663334^2 .

It is not an unprimeable number, because it can be changed into a prime (451134229009) 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 95 ways as a sum of consecutive naturals, for example, 23559430 + ... + 23578570.

Almost surely, 2^451134229000 is an apocalyptic number.

451134229000 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 451134229000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679140549360).

451134229000 is an abundant number, since it is smaller than the sum of its proper divisors (907146869720).

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

451134229000 is a wasteful number, since it uses less digits than its factorization.

451134229000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19226 (or 19205 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 451134229000 in words is "four hundred fifty-one billion, one hundred thirty-four million, two hundred twenty-nine thousand".