164800970712 has 256 divisors, whose sum is σ = 536764032000. Its totient is φ = 45878897664.

The previous prime is 164800970671. The next prime is 164800970773. The reversal of 164800970712 is 217079008461.

It is a happy number.

164800970712 is a `hidden beast` number, since 16 + 480 + 0 + 97 + 0 + 71 + 2 = 666.

It is a congruent number.

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, 9152214 + ... + 9170202.

It is an arithmetic number, because the mean of its divisors is an integer number (2096734500).

Almost surely, 2^164800970712 is an apocalyptic number.

164800970712 is a gapful number since it is divisible by the number (12) 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 164800970712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268382016000).

164800970712 is an abundant number, since it is smaller than the sum of its proper divisors (371963061288).

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

164800970712 is a wasteful number, since it uses less digits than its factorization.

164800970712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18167 (or 18157 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

It can be divided in two parts, 1648009 and 70712, that added together give a square (1718721 = 1311²).

The spelling of 164800970712 in words is "one hundred sixty-four billion, eight hundred million, nine hundred seventy thousand, seven hundred twelve".