451351450350 has 144 divisors (see below), whose sum is σ = 1218352069584. Its totient is φ = 119793600000.

The previous prime is 451351450331. The next prime is 451351450357. The reversal of 451351450350 is 53054153154.

451351450350 is a `hidden beast` number, since 4 + 5 + 135 + 14 + 503 + 5 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451351450357) 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 71 ways as a sum of consecutive naturals, for example, 150398850 + ... + 150401850.

It is an arithmetic number, because the mean of its divisors is an integer number (8460778261).

Almost surely, 2^451351450350 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451351450350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609176034792).

451351450350 is an abundant number, since it is smaller than the sum of its proper divisors (767000619234).

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

451351450350 is a wasteful number, since it uses less digits than its factorization.

451351450350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4483 (or 4475 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 451351450350 in words is "four hundred fifty-one billion, three hundred fifty-one million, four hundred fifty thousand, three hundred fifty".