11307070806912 has 192 divisors, whose sum is σ = 33748550035200. Its totient is φ = 3768332004864.

The previous prime is 11307070806893. The next prime is 11307070806929. The reversal of 11307070806912 is 21960807070311.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186189289 + ... + 186250007.

It is an arithmetic number, because the mean of its divisors is an integer number (175773698100).

Almost surely, 2^{11307070806912} is an apocalyptic number.

11307070806912 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 11307070806912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16874275017600).

11307070806912 is an abundant number, since it is smaller than the sum of its proper divisors (22441479228288).

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

11307070806912 is an frugal number, since it uses more digits than its factorization.

11307070806912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66735 (or 66711 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 11307070806912 in words is "eleven trillion, three hundred seven billion, seventy million, eight hundred six thousand, nine hundred twelve".