1006064243712 has 352 divisors, whose sum is σ = 3255492466560. Its totient is φ = 304384573440.

The previous prime is 1006064243707. The next prime is 1006064243753. The reversal of 1006064243712 is 2173424606001.

1006064243712 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 0 + 642 + 4 + 3 + 7 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222923568 + ... + 222928080.

Almost surely, 2^{1006064243712} is an apocalyptic number.

1006064243712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006064243712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627746233280).

1006064243712 is an abundant number, since it is smaller than the sum of its proper divisors (2249428222848).

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

1006064243712 is a wasteful number, since it uses less digits than its factorization.

1006064243712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5286 (or 5262 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 1006064243712 its reverse (2173424606001), we get a palindrome (3179488849713).

The spelling of 1006064243712 in words is "one trillion, six billion, sixty-four million, two hundred forty-three thousand, seven hundred twelve".