450105166386 has 80 divisors (see below), whose sum is σ = 1025018305344. Its totient is φ = 147594164256.

The previous prime is 450105166363. The next prime is 450105166411. The reversal of 450105166386 is 683661501054.

450105166386 is a `hidden beast` number, since 4 + 5 + 0 + 1 + 0 + 5 + 1 + 6 + 638 + 6 = 666.

It is a Curzon 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 39 ways as a sum of consecutive naturals, for example, 8036616 + ... + 8092428.

Almost surely, 2^450105166386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450105166386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512509152672).

450105166386 is an abundant number, since it is smaller than the sum of its proper divisors (574913138958).

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

450105166386 is a wasteful number, since it uses less digits than its factorization.

450105166386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56637 (or 56628 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 450105166386 in words is "four hundred fifty billion, one hundred five million, one hundred sixty-six thousand, three hundred eighty-six".