11622346848 has 432 divisors, whose sum is σ = 39930770880. Its totient is φ = 3195182592.

The previous prime is 11622346819. The next prime is 11622346951. The reversal of 11622346848 is 84864322611.

11622346848 is a `hidden beast` number, since 1 + 162 + 23 + 468 + 4 + 8 = 666.

11622346848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64929223 + ... + 64929401.

It is an arithmetic number, because the mean of its divisors is an integer number (92432340).

Almost surely, 2^11622346848 is an apocalyptic number.

11622346848 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 11622346848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19965385440).

11622346848 is an abundant number, since it is smaller than the sum of its proper divisors (28308424032).

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

11622346848 is a wasteful number, since it uses less digits than its factorization.

11622346848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 341 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The spelling of 11622346848 in words is "eleven billion, six hundred twenty-two million, three hundred forty-six thousand, eight hundred forty-eight".