164114016 has 192 divisors, whose sum is σ = 509483520. Its totient is φ = 45731840.

The previous prime is 164114003. The next prime is 164114029. The reversal of 164114016 is 610411461.

It is an interprime number because it is at equal distance from previous prime (164114003) and next prime (164114029).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 704236 + ... + 704468.

It is an arithmetic number, because the mean of its divisors is an integer number (2653560).

Almost surely, 2^164114016 is an apocalyptic number.

164114016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164114016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254741760).

164114016 is an abundant number, since it is smaller than the sum of its proper divisors (345369504).

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

164114016 is a wasteful number, since it uses less digits than its factorization.

164114016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 164114016 is about 12810.6992783376. The cubic root of 164114016 is about 547.4971856155.

Adding to 164114016 its reverse (610411461), we get a palindrome (774525477).

The spelling of 164114016 in words is "one hundred sixty-four million, one hundred fourteen thousand, sixteen".