164619680988 has 192 divisors, whose sum is σ = 457141321728. Its totient is φ = 45134876160.

The previous prime is 164619680987. The next prime is 164619681029. The reversal of 164619680988 is 889086916461.

164619680988 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×164619680988² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164619680983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61630893 + ... + 61633563.

It is an arithmetic number, because the mean of its divisors is an integer number (2380944384).

Almost surely, 2^164619680988 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164619680988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228570660864).

164619680988 is an abundant number, since it is smaller than the sum of its proper divisors (292521640740).

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

164619680988 is a wasteful number, since it uses less digits than its factorization.

164619680988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3032 (or 3030 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 66.

The spelling of 164619680988 in words is "one hundred sixty-four billion, six hundred nineteen million, six hundred eighty thousand, nine hundred eighty-eight".