164738271484800 has 2304 divisors, whose sum is σ = 685272305390400. Its totient is φ = 38798363197440.

The previous prime is 164738271484763. The next prime is 164738271484873. The reversal of 164738271484800 is 8484172837461.

164738271484800 is a `hidden beast` number, since 1 + 6 + 4 + 7 + 3 + 8 + 2 + 7 + 148 + 480 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 33126535114 + ... + 33126540086.

Almost surely, 2^{164738271484800} is an apocalyptic number.

164738271484800 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 164738271484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342636152695200).

164738271484800 is an abundant number, since it is smaller than the sum of its proper divisors (520534033905600).

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

164738271484800 is a wasteful number, since it uses less digits than its factorization.

164738271484800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5167 (or 5138 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 164738271484800 in words is "one hundred sixty-four trillion, seven hundred thirty-eight billion, two hundred seventy-one million, four hundred eighty-four thousand, eight hundred".