11465700822 has 144 divisors (see below), whose sum is σ = 27901823040. Its totient is φ = 3519005472.

The previous prime is 11465700793. The next prime is 11465700823. The reversal of 11465700822 is 22800756411.

11465700822 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 570 + 0 + 82 + 2 = 666.

It is a super-2 number, since 2×11465700822² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11465700823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12640893 + ... + 12641799.

It is an arithmetic number, because the mean of its divisors is an integer number (193762660).

Almost surely, 2^11465700822 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11465700822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13950911520).

11465700822 is an abundant number, since it is smaller than the sum of its proper divisors (16436122218).

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

11465700822 is an equidigital number, since it uses as much as digits as its factorization.

11465700822 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 11465700822 in words is "eleven billion, four hundred sixty-five million, seven hundred thousand, eight hundred twenty-two".