164257089648 has 120 divisors (see below), whose sum is σ = 451604643072. Its totient is φ = 51435052032.

The previous prime is 164257089641. The next prime is 164257089691. The reversal of 164257089648 is 846980752461.

It is a happy number.

It is a super-2 number, since 2×164257089648² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164257089591 and 164257089600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164257089641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7577161 + ... + 7598807.

Almost surely, 2^164257089648 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 164257089648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225802321536).

164257089648 is an abundant number, since it is smaller than the sum of its proper divisors (287347553424).

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

164257089648 is a wasteful number, since it uses less digits than its factorization.

164257089648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22239 (or 22216 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 60.

The spelling of 164257089648 in words is "one hundred sixty-four billion, two hundred fifty-seven million, eighty-nine thousand, six hundred forty-eight".