164392582464 has 252 divisors, whose sum is σ = 519424464832. Its totient is φ = 49672465920.

The previous prime is 164392582433. The next prime is 164392582481. The reversal of 164392582464 is 464285293461.

164392582464 is a `hidden beast` number, since 1 + 6 + 4 + 392 + 5 + 8 + 246 + 4 = 666.

It is a super-2 number, since 2×164392582464² (a number of 23 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 164392582464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25575219 + ... + 25581645.

Almost surely, 2^164392582464 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 164392582464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259712232416).

164392582464 is an abundant number, since it is smaller than the sum of its proper divisors (355031882368).

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

164392582464 is a wasteful number, since it uses less digits than its factorization.

164392582464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6834 (or 6810 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 164392582464 in words is "one hundred sixty-four billion, three hundred ninety-two million, five hundred eighty-two thousand, four hundred sixty-four".