10822182336 has 672 divisors, whose sum is σ = 40355520000. Its totient is φ = 2834818560.

The previous prime is 10822182331. The next prime is 10822182373. The reversal of 10822182336 is 63328122801.

10822182336 is a `hidden beast` number, since 108 + 2 + 218 + 2 + 336 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a self number, because there is not a number n which added to its sum of digits gives 10822182336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10822182331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 349102641 + ... + 349102671.

Almost surely, 2^10822182336 is an apocalyptic number.

10822182336 is a gapful number since it is divisible by the number (16) 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 10822182336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20177760000).

10822182336 is an abundant number, since it is smaller than the sum of its proper divisors (29533337664).

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

10822182336 is an equidigital number, since it uses as much as digits as its factorization.

10822182336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 10822182336 in words is "ten billion, eight hundred twenty-two million, one hundred eighty-two thousand, three hundred thirty-six".