164720442658304 has 480 divisors, whose sum is σ = 395521759987200. Its totient is φ = 67919787048960.

The previous prime is 164720442658297. The next prime is 164720442658333. The reversal of 164720442658304 is 403856244027461.

It is a super-2 number, since 2×164720442658304² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 164720442658304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4749844037 + ... + 4749878715.

It is an arithmetic number, because the mean of its divisors is an integer number (824003666640).

Almost surely, 2^{164720442658304} 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 164720442658304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197760879993600).

164720442658304 is an abundant number, since it is smaller than the sum of its proper divisors (230801317328896).

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

164720442658304 is a wasteful number, since it uses less digits than its factorization.

164720442658304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34846 (or 34807 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 56.

The spelling of 164720442658304 in words is "one hundred sixty-four trillion, seven hundred twenty billion, four hundred forty-two million, six hundred fifty-eight thousand, three hundred four".