164477830784304 has 320 divisors, whose sum is σ = 455671873704960. Its totient is φ = 50971622768640.

The previous prime is 164477830784203. The next prime is 164477830784317. The reversal of 164477830784304 is 403487038774461.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16545395974 + ... + 16545405914.

It is an arithmetic number, because the mean of its divisors is an integer number (1423974605328).

Almost surely, 2^{164477830784304} 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 164477830784304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227835936852480).

164477830784304 is an abundant number, since it is smaller than the sum of its proper divisors (291194042920656).

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

164477830784304 is a wasteful number, since it uses less digits than its factorization.

164477830784304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11268 (or 11262 counting only the distinct ones).

The product of its (nonzero) digits is 303464448, while the sum is 66.

The spelling of 164477830784304 in words is "one hundred sixty-four trillion, four hundred seventy-seven billion, eight hundred thirty million, seven hundred eighty-four thousand, three hundred four".