164740814304 has 192 divisors, whose sum is σ = 488556085248. Its totient is φ = 48171916800.

The previous prime is 164740814299. The next prime is 164740814309. The reversal of 164740814304 is 403418047461.

It is an interprime number because it is at equal distance from previous prime (164740814299) and next prime (164740814309).

It is a super-2 number, since 2×164740814304² (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 (164740814309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3747009 + ... + 3790719.

It is an arithmetic number, because the mean of its divisors is an integer number (2544562944).

Almost surely, 2^164740814304 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 164740814304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244278042624).

164740814304 is an abundant number, since it is smaller than the sum of its proper divisors (323815270944).

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

164740814304 is a wasteful number, since it uses less digits than its factorization.

164740814304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43861 (or 43853 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The spelling of 164740814304 in words is "one hundred sixty-four billion, seven hundred forty million, eight hundred fourteen thousand, three hundred four".