164256520456 has 64 divisors (see below), whose sum is σ = 370666281600. Its totient is φ = 66661304832.

The previous prime is 164256520387. The next prime is 164256520457. The reversal of 164256520456 is 654025652461.

It is not an unprimeable number, because it can be changed into a prime (164256520457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2475100 + ... + 2540596.

It is an arithmetic number, because the mean of its divisors is an integer number (5791660650).

Almost surely, 2^164256520456 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 164256520456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185333140800).

164256520456 is an abundant number, since it is smaller than the sum of its proper divisors (206409761144).

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

164256520456 is a wasteful number, since it uses less digits than its factorization.

164256520456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67886 (or 67882 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 46.

The spelling of 164256520456 in words is "one hundred sixty-four billion, two hundred fifty-six million, five hundred twenty thousand, four hundred fifty-six".