164117745000 has 1200 divisors, whose sum is σ = 671919120180. Its totient is φ = 37255680000.

The previous prime is 164117744941. The next prime is 164117745041. The reversal of 164117745000 is 547711461.

164117745000 is a `hidden beast` number, since 1 + 641 + 1 + 7 + 7 + 4 + 5 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 5572025316 + 158545719684 = 74646^2 + 398178^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 299 ways as a sum of consecutive naturals, for example, 833084902 + ... + 833085098.

Almost surely, 2^164117745000 is an apocalyptic number.

164117745000 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 164117745000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335959560090).

164117745000 is an abundant number, since it is smaller than the sum of its proper divisors (507801375180).

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

164117745000 is a wasteful number, since it uses less digits than its factorization.

164117745000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 164117745000 in words is "one hundred sixty-four billion, one hundred seventeen million, seven hundred forty-five thousand".