164830874260 has 192 divisors, whose sum is σ = 399800100672. Its totient is φ = 56545542144.

The previous prime is 164830874237. The next prime is 164830874261. The reversal of 164830874260 is 62478038461.

It can be written as a sum of positive squares in 32 ways, for example, as 28873486084 + 135957388176 = 169922^2 + 368724^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164830874261) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 120050934 + ... + 120052306.

It is an arithmetic number, because the mean of its divisors is an integer number (2082292191).

Almost surely, 2^164830874260 is an apocalyptic number.

164830874260 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 164830874260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199900050336).

164830874260 is an abundant number, since it is smaller than the sum of its proper divisors (234969226412).

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

164830874260 is a wasteful number, since it uses less digits than its factorization.

164830874260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1742 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

The spelling of 164830874260 in words is "one hundred sixty-four billion, eight hundred thirty million, eight hundred seventy-four thousand, two hundred sixty".