13164122664 has 192 divisors, whose sum is σ = 44508147840. Its totient is φ = 3414804480.

The previous prime is 13164122639. The next prime is 13164122701. The reversal of 13164122664 is 46622146131.

13164122664 is a `hidden beast` number, since 1 + 3 + 1 + 641 + 2 + 2 + 6 + 6 + 4 = 666.

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 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, 7943724 + ... + 7945380.

It is an arithmetic number, because the mean of its divisors is an integer number (231813270).

Almost surely, 2^13164122664 is an apocalyptic number.

13164122664 is a gapful number since it is divisible by the number (14) 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 13164122664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22254073920).

13164122664 is an abundant number, since it is smaller than the sum of its proper divisors (31344025176).

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

13164122664 is a wasteful number, since it uses less digits than its factorization.

13164122664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3120 (or 3113 counting only the distinct ones).

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

Adding to 13164122664 its reverse (46622146131), we get a palindrome (59786268795).

The spelling of 13164122664 in words is "thirteen billion, one hundred sixty-four million, one hundred twenty-two thousand, six hundred sixty-four".