1414066012506 has 256 divisors, whose sum is σ = 3955756953600. Its totient is φ = 365379745536.

The previous prime is 1414066012459. The next prime is 1414066012511. The reversal of 1414066012506 is 6052106604141.

1414066012506 is a `hidden beast` number, since 1 + 4 + 1 + 40 + 6 + 601 + 2 + 5 + 0 + 6 = 666.

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 127 ways as a sum of consecutive naturals, for example, 14033701 + ... + 14134103.

It is an arithmetic number, because the mean of its divisors is an integer number (15452175600).

Almost surely, 2^{1414066012506} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414066012506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1977878476800).

1414066012506 is an abundant number, since it is smaller than the sum of its proper divisors (2541690941094).

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

1414066012506 is a wasteful number, since it uses less digits than its factorization.

1414066012506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100530 (or 100524 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 1414066012506 in words is "one trillion, four hundred fourteen billion, sixty-six million, twelve thousand, five hundred six".