164901312 has 56 divisors (see below), whose sum is σ = 484784400. Its totient is φ = 54966528.

The previous prime is 164901299. The next prime is 164901383. The reversal of 164901312 is 213109461.

164901312 is a `hidden beast` number, since 1 + 649 + 0 + 1 + 3 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 7 ways as a sum of consecutive naturals, for example, 45987 + ... + 49442.

Almost surely, 2^164901312 is an apocalyptic number.

164901312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164901312 is an abundant number, since it is smaller than the sum of its proper divisors (319883088).

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

164901312 is an equidigital number, since it uses as much as digits as its factorization.

164901312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95450 (or 95434 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 164901312 is about 12841.3905789054. The cubic root of 164901312 is about 548.3712830128.

The spelling of 164901312 in words is "one hundred sixty-four million, nine hundred one thousand, three hundred twelve".