164354614640 has 160 divisors (see below), whose sum is σ = 394654740480. Its totient is φ = 63631706112.

The previous prime is 164354614639. The next prime is 164354614651. The reversal of 164354614640 is 46416453461.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 164354614591 and 164354614600.

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, 71863577 + ... + 71865863.

It is an arithmetic number, because the mean of its divisors is an integer number (2466592128).

Almost surely, 2^164354614640 is an apocalyptic number.

164354614640 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 164354614640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197327370240).

164354614640 is an abundant number, since it is smaller than the sum of its proper divisors (230300125840).

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

164354614640 is a wasteful number, since it uses less digits than its factorization.

164354614640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599 (or 2593 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 44.

The spelling of 164354614640 in words is "one hundred sixty-four billion, three hundred fifty-four million, six hundred fourteen thousand, six hundred forty".