450456323253132 has 192 divisors, whose sum is σ = 1273420414135296. Its totient is φ = 120984174305280.

The previous prime is 450456323253127. The next prime is 450456323253197. The reversal of 450456323253132 is 231352323654054.

It is a happy number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4219796583 + ... + 4219903329.

It is an arithmetic number, because the mean of its divisors is an integer number (6632397990288).

Almost surely, 2^{450456323253132} is an apocalyptic number.

450456323253132 is a gapful number since it is divisible by the number (42) 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 450456323253132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636710207067648).

450456323253132 is an abundant number, since it is smaller than the sum of its proper divisors (822964090882164).

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

450456323253132 is a wasteful number, since it uses less digits than its factorization.

450456323253132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110336 (or 110334 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 48.

The spelling of 450456323253132 in words is "four hundred fifty trillion, four hundred fifty-six billion, three hundred twenty-three million, two hundred fifty-three thousand, one hundred thirty-two".