11287230168192 has 768 divisors, whose sum is σ = 36130759741440. Its totient is φ = 3106485043200.

The previous prime is 11287230168133. The next prime is 11287230168199. The reversal of 11287230168192 is 29186103278211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (11287230168199) 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, 3711682192 + ... + 3711685232.

It is an arithmetic number, because the mean of its divisors is an integer number (47045260080).

Almost surely, 2^{11287230168192} is an apocalyptic number.

11287230168192 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 11287230168192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18065379870720).

11287230168192 is an abundant number, since it is smaller than the sum of its proper divisors (24843529573248).

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

11287230168192 is a wasteful number, since it uses less digits than its factorization.

11287230168192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3261 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 51.

The spelling of 11287230168192 in words is "eleven trillion, two hundred eighty-seven billion, two hundred thirty million, one hundred sixty-eight thousand, one hundred ninety-two".