164310480000 has 480 divisors, whose sum is σ = 621984963600. Its totient is φ = 41506560000.

The previous prime is 164310479959. The next prime is 164310480011. The reversal of 164310480000 is 84013461.

164310480000 is a `hidden beast` number, since 1 + 643 + 10 + 4 + 8 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13673995 + ... + 13686005.

Almost surely, 2^164310480000 is an apocalyptic number.

164310480000 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 164310480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310992481800).

164310480000 is an abundant number, since it is smaller than the sum of its proper divisors (457674483600).

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

164310480000 is a wasteful number, since it uses less digits than its factorization.

164310480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12070 (or 12040 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 164310480000 its reverse (84013461), we get a palindrome (164394493461).

The spelling of 164310480000 in words is "one hundred sixty-four billion, three hundred ten million, four hundred eighty thousand".