164357334240 has 384 divisors, whose sum is σ = 570634606080. Its totient is φ = 39434649600.

The previous prime is 164357334203. The next prime is 164357334319. The reversal of 164357334240 is 42433753461.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 164357334192 and 164357334201.

It is a congruent number.

It is an unprimeable number.

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, 288852676 + ... + 288853244.

It is an arithmetic number, because the mean of its divisors is an integer number (1486027620).

Almost surely, 2^164357334240 is an apocalyptic number.

164357334240 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 164357334240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285317303040).

164357334240 is an abundant number, since it is smaller than the sum of its proper divisors (406277271840).

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

164357334240 is a wasteful number, since it uses less digits than its factorization.

164357334240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 42.

The spelling of 164357334240 in words is "one hundred sixty-four billion, three hundred fifty-seven million, three hundred thirty-four thousand, two hundred forty".