1466312205006 has 216 divisors, whose sum is σ = 3715294025352. Its totient is φ = 417556339200.

The previous prime is 1466312204947. The next prime is 1466312205011. The reversal of 1466312205006 is 6005022136641.

1466312205006 is a `hidden beast` number, since 14 + 6 + 631 + 2 + 2 + 0 + 5 + 0 + 0 + 6 = 666.

It is a congruent 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 107 ways as a sum of consecutive naturals, for example, 536912661 + ... + 536915391.

Almost surely, 2^{1466312205006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1466312205006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857647012676).

1466312205006 is an abundant number, since it is smaller than the sum of its proper divisors (2248981820346).

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

1466312205006 is a wasteful number, since it uses less digits than its factorization.

1466312205006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648 (or 3617 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 1466312205006 in words is "one trillion, four hundred sixty-six billion, three hundred twelve million, two hundred five thousand, six".