1004446061514 has 128 divisors (see below), whose sum is σ = 2701499143680. Its totient is φ = 270056374272.

The previous prime is 1004446061501. The next prime is 1004446061527. The reversal of 1004446061514 is 4151606444001.

1004446061514 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 44 + 606 + 1 + 5 + 1 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (1004446061501) and next prime (1004446061527).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53667022 + ... + 53685734.

It is an arithmetic number, because the mean of its divisors is an integer number (21105462060).

Almost surely, 2^{1004446061514} is an apocalyptic number.

1004446061514 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004446061514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350749571840).

1004446061514 is an abundant number, since it is smaller than the sum of its proper divisors (1697053082166).

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

1004446061514 is a wasteful number, since it uses less digits than its factorization.

1004446061514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27101 (or 27095 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 1004446061514 in words is "one trillion, four billion, four hundred forty-six million, sixty-one thousand, five hundred fourteen".