11468270868912 has 720 divisors, whose sum is σ = 39177684655200. Its totient is φ = 3085583155200.

The previous prime is 11468270868787. The next prime is 11468270868961. The reversal of 11468270868912 is 21986807286411.

11468270868912 is a `hidden beast` number, since 1 + 1 + 468 + 2 + 7 + 0 + 86 + 8 + 91 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11468270868912.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4499124214 + ... + 4499126762.

It is an arithmetic number, because the mean of its divisors is an integer number (54413450910).

Almost surely, 2^{11468270868912} is an apocalyptic number.

11468270868912 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 11468270868912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19588842327600).

11468270868912 is an abundant number, since it is smaller than the sum of its proper divisors (27709413786288).

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

11468270868912 is a wasteful number, since it uses less digits than its factorization.

11468270868912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 63.

The spelling of 11468270868912 in words is "eleven trillion, four hundred sixty-eight billion, two hundred seventy million, eight hundred sixty-eight thousand, nine hundred twelve".