164146311000000 has 1568 divisors, whose sum is σ = 696268587648000. Its totient is φ = 37143360000000.

The previous prime is 164146310999989. The next prime is 164146311000019. The reversal of 164146311000000 is 113641461.

164146311000000 is a `hidden beast` number, since 1 + 6 + 4 + 14 + 631 + 10 + 0 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×164146311000000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 19088995701 + ... + 19089004299.

Almost surely, 2^{164146311000000} is an apocalyptic number.

164146311000000 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 164146311000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348134293824000).

164146311000000 is an abundant number, since it is smaller than the sum of its proper divisors (532122276648000).

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

164146311000000 is an frugal number, since it uses more digits than its factorization.

164146311000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8758 (or 8717 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 164146311000000 its reverse (113641461), we get a palindrome (164146424641461).

The spelling of 164146311000000 in words is "one hundred sixty-four trillion, one hundred forty-six billion, three hundred eleven million", and thus it is an aban number.