11845728266816 has 112 divisors (see below), whose sum is σ = 24850171239360. Its totient is φ = 5587001671680.

The previous prime is 11845728266699. The next prime is 11845728266839. The reversal of 11845728266816 is 61866282754811.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 296590400 + ... + 296630336.

Almost surely, 2^{11845728266816} is an apocalyptic number.

11845728266816 is a gapful number since it is divisible by the number (16) 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 11845728266816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12425085619680).

11845728266816 is an abundant number, since it is smaller than the sum of its proper divisors (13004442972544).

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

11845728266816 is a wasteful number, since it uses less digits than its factorization.

11845728266816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41012 (or 41002 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 65.

The spelling of 11845728266816 in words is "eleven trillion, eight hundred forty-five billion, seven hundred twenty-eight million, two hundred sixty-six thousand, eight hundred sixteen".