450767344630000 has 100 divisors (see below), whose sum is σ = 1091736760600728. Its totient is φ = 180243505120000.

The previous prime is 450767344629983. The next prime is 450767344630013. The reversal of 450767344630000 is 36443767054.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20502330 + ... + 36357670.

Almost surely, 2^{450767344630000} is an apocalyptic number.

450767344630000 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 450767344630000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545868380300364).

450767344630000 is an abundant number, since it is smaller than the sum of its proper divisors (640969415970728).

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

450767344630000 is a wasteful number, since it uses less digits than its factorization.

450767344630000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15858212 (or 15858191 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 49.

The spelling of 450767344630000 in words is "four hundred fifty trillion, seven hundred sixty-seven billion, three hundred forty-four million, six hundred thirty thousand".