1309684514112 has 448 divisors, whose sum is σ = 4531971225600. Its totient is φ = 367037153280.

The previous prime is 1309684514093. The next prime is 1309684514153. The reversal of 1309684514112 is 2114154869031.

1309684514112 is a `hidden beast` number, since 1 + 30 + 96 + 8 + 4 + 514 + 1 + 12 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11783214 + ... + 11893842.

It is an arithmetic number, because the mean of its divisors is an integer number (10116007200).

Almost surely, 2^{1309684514112} is an apocalyptic number.

1309684514112 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 1309684514112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265985612800).

1309684514112 is an abundant number, since it is smaller than the sum of its proper divisors (3222286711488).

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

1309684514112 is a wasteful number, since it uses less digits than its factorization.

1309684514112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110711 (or 110695 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1309684514112 in words is "one trillion, three hundred nine billion, six hundred eighty-four million, five hundred fourteen thousand, one hundred twelve".