164490310880 has 288 divisors, whose sum is σ = 479616028416. Its totient is φ = 52971749376.

The previous prime is 164490310847. The next prime is 164490310909. The reversal of 164490310880 is 88013094461.

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 47 ways as a sum of consecutive naturals, for example, 90229649 + ... + 90231471.

It is an arithmetic number, because the mean of its divisors is an integer number (1665333432).

Almost surely, 2^164490310880 is an apocalyptic number.

164490310880 is a gapful number since it is divisible by the number (10) 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 164490310880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239808014208).

164490310880 is an abundant number, since it is smaller than the sum of its proper divisors (315125717536).

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

164490310880 is a wasteful number, since it uses less digits than its factorization.

164490310880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2546 (or 2531 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 44.

The spelling of 164490310880 in words is "one hundred sixty-four billion, four hundred ninety million, three hundred ten thousand, eight hundred eighty".