164388608435328 has 512 divisors, whose sum is σ = 481537032192000. Its totient is φ = 49457413361664.

The previous prime is 164388608435321. The next prime is 164388608435383. The reversal of 164388608435328 is 823534806883461.

It is a super-2 number, since 2×164388608435328² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is not an unprimeable number, because it can be changed into a prime (164388608435321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 78767899501 + ... + 78767901587.

It is an arithmetic number, because the mean of its divisors is an integer number (940502016000).

Almost surely, 2^{164388608435328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164388608435328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240768516096000).

164388608435328 is an abundant number, since it is smaller than the sum of its proper divisors (317148423756672).

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

164388608435328 is a wasteful number, since it uses less digits than its factorization.

164388608435328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3792 (or 3780 counting only the distinct ones).

The product of its (nonzero) digits is 637009920, while the sum is 69.

The spelling of 164388608435328 in words is "one hundred sixty-four trillion, three hundred eighty-eight billion, six hundred eight million, four hundred thirty-five thousand, three hundred twenty-eight".