450135552315200 has 42 divisors (see below), whose sum is σ = 1107614793419526. Its totient is φ = 180054220925440.

The previous prime is 450135552315077. The next prime is 450135552315203. The reversal of 450135552315200 is 2513255531054.

It can be written as a sum of positive squares in 3 ways, for example, as 11632519779904 + 438503032535296 = 3410648^2 + 20940464^2 .

It is a super-2 number, since 2×450135552315200² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450135552315203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 140667358499 + ... + 140667361698.

It is an arithmetic number, because the mean of its divisors is an integer number (26371780795703).

Almost surely, 2^{450135552315200} is an apocalyptic number.

450135552315200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

450135552315200 is an abundant number, since it is smaller than the sum of its proper divisors (657479241104326).

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

450135552315200 is a wasteful number, since it uses less digits than its factorization.

450135552315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281334720219 (or 281334720204 counting only the distinct ones).

The product of its (nonzero) digits is 450000, while the sum is 41.

The spelling of 450135552315200 in words is "four hundred fifty trillion, one hundred thirty-five billion, five hundred fifty-two million, three hundred fifteen thousand, two hundred".