164353888384 has 128 divisors (see below), whose sum is σ = 383894380800. Its totient is φ = 68617420800.

The previous prime is 164353888319. The next prime is 164353888441. The reversal of 164353888384 is 483888353461.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27953157 + ... + 27959035.

It is an arithmetic number, because the mean of its divisors is an integer number (2999174850).

Almost surely, 2^164353888384 is an apocalyptic number.

164353888384 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 164353888384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191947190400).

164353888384 is an abundant number, since it is smaller than the sum of its proper divisors (219540492416).

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

164353888384 is an equidigital number, since it uses as much as digits as its factorization.

164353888384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6702 (or 6690 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 61.

The spelling of 164353888384 in words is "one hundred sixty-four billion, three hundred fifty-three million, eight hundred eighty-eight thousand, three hundred eighty-four".