1009786643712 has 864 divisors, whose sum is σ = 3922409836800. Its totient is φ = 246817751040.

The previous prime is 1009786643653. The next prime is 1009786643713. The reversal of 1009786643712 is 2173466879001.

1009786643712 is a `hidden beast` number, since 100 + 97 + 8 + 6 + 6 + 437 + 12 = 666.

1009786643712 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009786643713) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 147777448 + ... + 147784280.

It is an arithmetic number, because the mean of its divisors is an integer number (4539826200).

Almost surely, 2^{1009786643712} is an apocalyptic number.

1009786643712 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 1009786643712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1961204918400).

1009786643712 is an abundant number, since it is smaller than the sum of its proper divisors (2912623193088).

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

1009786643712 is a wasteful number, since it uses less digits than its factorization.

1009786643712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6904 (or 6873 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 1009786643712 in words is "one trillion, nine billion, seven hundred eighty-six million, six hundred forty-three thousand, seven hundred twelve".