164654175104 has 256 divisors, whose sum is σ = 380712960000. Its totient is φ = 70405816320.

The previous prime is 164654175061. The next prime is 164654175137. The reversal of 164654175104 is 401571456461.

It is a super-2 number, since 2×164654175104² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 229004057 + ... + 229004775.

It is an arithmetic number, because the mean of its divisors is an integer number (1487160000).

Almost surely, 2^164654175104 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 164654175104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190356480000).

164654175104 is an abundant number, since it is smaller than the sum of its proper divisors (216058784896).

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

164654175104 is a wasteful number, since it uses less digits than its factorization.

164654175104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 989 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 44.

The spelling of 164654175104 in words is "one hundred sixty-four billion, six hundred fifty-four million, one hundred seventy-five thousand, one hundred four".