13622164416 has 224 divisors, whose sum is σ = 46397550080. Its totient is φ = 3838482432.

The previous prime is 13622164411. The next prime is 13622164417. The reversal of 13622164416 is 61446122631.

13622164416 is a `hidden beast` number, since 1 + 3 + 6 + 2 + 2 + 1 + 644 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13622164411) 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 31 ways as a sum of consecutive naturals, for example, 875295 + ... + 890721.

It is an arithmetic number, because the mean of its divisors is an integer number (207131920).

Almost surely, 2^13622164416 is an apocalyptic number.

13622164416 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 13622164416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23198775040).

13622164416 is an abundant number, since it is smaller than the sum of its proper divisors (32775385664).

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

13622164416 is a wasteful number, since it uses less digits than its factorization.

13622164416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15528 (or 15512 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 13622164416 in words is "thirteen billion, six hundred twenty-two million, one hundred sixty-four thousand, four hundred sixteen".