11822064768 has 384 divisors, whose sum is σ = 37730534400. Its totient is φ = 3540049920.

The previous prime is 11822064743. The next prime is 11822064781. The reversal of 11822064768 is 86746022811.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×11822064768² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30390718 + ... + 30391106.

It is an arithmetic number, because the mean of its divisors is an integer number (98256600).

Almost surely, 2^11822064768 is an apocalyptic number.

11822064768 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 11822064768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18865267200).

11822064768 is an abundant number, since it is smaller than the sum of its proper divisors (25908469632).

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

11822064768 is a wasteful number, since it uses less digits than its factorization.

11822064768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 11822064768 in words is "eleven billion, eight hundred twenty-two million, sixty-four thousand, seven hundred sixty-eight".