164465514 has 48 divisors (see below), whose sum is σ = 386535240. Its totient is φ = 50334720.

The previous prime is 164465513. The next prime is 164465551. The reversal of 164465514 is 415564461.

164465514 is a `hidden beast` number, since 1 + 64 + 46 + 551 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 114126489 + 50339025 = 10683^2 + 7095^2 .

It is not an unprimeable number, because it can be changed into a prime (164465513) 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, 5992 + ... + 19100.

Almost surely, 2^164465514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164465514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193267620).

164465514 is an abundant number, since it is smaller than the sum of its proper divisors (222069726).

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

164465514 is a wasteful number, since it uses less digits than its factorization.

164465514 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13175 (or 13172 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 164465514 is about 12824.4108636615. The cubic root of 164465514 is about 547.8877818240.

The spelling of 164465514 in words is "one hundred sixty-four million, four hundred sixty-five thousand, five hundred fourteen".