450090813843396 has 288 divisors, whose sum is σ = 1355088874513920. Its totient is φ = 129191989651200.

The previous prime is 450090813843373. The next prime is 450090813843499. The reversal of 450090813843396 is 693348318090054.

450090813843396 is a `hidden beast` number, since 4 + 5 + 0 + 0 + 9 + 0 + 81 + 38 + 433 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1292050275 + ... + 1292398581.

Almost surely, 2^{450090813843396} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450090813843396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677544437256960).

450090813843396 is an abundant number, since it is smaller than the sum of its proper divisors (904998060670524).

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

450090813843396 is a wasteful number, since it uses less digits than its factorization.

450090813843396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354717 (or 354703 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 450090813843396 in words is "four hundred fifty trillion, ninety billion, eight hundred thirteen million, eight hundred forty-three thousand, three hundred ninety-six".