164546464 has 48 divisors (see below), whose sum is σ = 337002120. Its totient is φ = 78991360.

The previous prime is 164546461. The next prime is 164546467. The reversal of 164546464 is 464645461.

164546464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (164546461) and next prime (164546467).

It can be written as a sum of positive squares in 4 ways, for example, as 62536464 + 102010000 = 7908^2 + 10100^2 .

It is not an unprimeable number, because it can be changed into a prime (164546461) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215844 + ... + 216604.

Almost surely, 2^164546464 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 164546464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168501060).

164546464 is an abundant number, since it is smaller than the sum of its proper divisors (172455656).

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

164546464 is a wasteful number, since it uses less digits than its factorization.

164546464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1025 counting only the distinct ones).

The product of its digits is 276480, while the sum is 40.

The square root of 164546464 is about 12827.5665657988. The cubic root of 164546464 is about 547.9776572843.

The spelling of 164546464 in words is "one hundred sixty-four million, five hundred forty-six thousand, four hundred sixty-four".