1284806377206 has 512 divisors, whose sum is σ = 3591143424000. Its totient is φ = 339567966720.

The previous prime is 1284806377201. The next prime is 1284806377241. The reversal of 1284806377206 is 6027736084821.

1284806377206 is a `hidden beast` number, since 1 + 28 + 48 + 0 + 6 + 377 + 206 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1284806377201) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 730417755 + ... + 730419513.

It is an arithmetic number, because the mean of its divisors is an integer number (7013952000).

Almost surely, 2^{1284806377206} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1284806377206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1795571712000).

1284806377206 is an abundant number, since it is smaller than the sum of its proper divisors (2306337046794).

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

1284806377206 is a wasteful number, since it uses less digits than its factorization.

1284806377206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 1284806377206 in words is "one trillion, two hundred eighty-four billion, eight hundred six million, three hundred seventy-seven thousand, two hundred six".