1000459101006 has 96 divisors (see below), whose sum is σ = 2324341533696. Its totient is φ = 322188840000.

The previous prime is 1000459100999. The next prime is 1000459101053. The reversal of 1000459101006 is 6001019540001.

1000459101006 is a `hidden beast` number, since 100 + 0 + 459 + 1 + 0 + 100 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8999421 + ... + 9109911.

It is an arithmetic number, because the mean of its divisors is an integer number (24211890976).

Almost surely, 2^{1000459101006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000459101006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162170766848).

1000459101006 is an abundant number, since it is smaller than the sum of its proper divisors (1323882432690).

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

1000459101006 is a wasteful number, since it uses less digits than its factorization.

1000459101006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111140 (or 111128 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 1000459101006 in words is "one trillion, four hundred fifty-nine million, one hundred one thousand, six".