450351141345 has 48 divisors (see below), whose sum is σ = 892275471360. Its totient is φ = 205839891072.

The previous prime is 450351141343. The next prime is 450351141367. The reversal of 450351141345 is 543141153054.

450351141345 is a `hidden beast` number, since 4 + 5 + 0 + 3 + 511 + 4 + 134 + 5 = 666.

It is not a de Polignac number, because 450351141345 - 2¹ = 450351141343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (450351141343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1786591 + ... + 2023019.

It is an arithmetic number, because the mean of its divisors is an integer number (18589072320).

Almost surely, 2^450351141345 is an apocalyptic number.

450351141345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

450351141345 is a deficient number, since it is larger than the sum of its proper divisors (441924330015).

450351141345 is a wasteful number, since it uses less digits than its factorization.

450351141345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242494 (or 242491 counting only the distinct ones).

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

Adding to 450351141345 its reverse (543141153054), we get a palindrome (993492294399).

The spelling of 450351141345 in words is "four hundred fifty billion, three hundred fifty-one million, one hundred forty-one thousand, three hundred forty-five".