11311822368 has 720 divisors, whose sum is σ = 44053377984. Its totient is φ = 2765767680.

The previous prime is 11311822343. The next prime is 11311822397. The reversal of 11311822368 is 86322811311.

11311822368 is a `hidden beast` number, since 113 + 1 + 182 + 2 + 368 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 72049746 + ... + 72049902.

Almost surely, 2^11311822368 is an apocalyptic number.

11311822368 is a gapful number since it is divisible by the number (18) 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 11311822368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22026688992).

11311822368 is an abundant number, since it is smaller than the sum of its proper divisors (32741555616).

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

11311822368 is a wasteful number, since it uses less digits than its factorization.

11311822368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 199 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The spelling of 11311822368 in words is "eleven billion, three hundred eleven million, eight hundred twenty-two thousand, three hundred sixty-eight".