164338509314 has 32 divisors (see below), whose sum is σ = 290919699840. Its totient is φ = 68161709952.

The previous prime is 164338509311. The next prime is 164338509353. The reversal of 164338509314 is 413905833461.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (164338509311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1186619 + ... + 1317854.

It is an arithmetic number, because the mean of its divisors is an integer number (9091240620).

Almost surely, 2^164338509314 is an apocalyptic number.

164338509314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

164338509314 is a deficient number, since it is larger than the sum of its proper divisors (126581190526).

164338509314 is a wasteful number, since it uses less digits than its factorization.

164338509314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504634.

The product of its (nonzero) digits is 933120, while the sum is 47.

The spelling of 164338509314 in words is "one hundred sixty-four billion, three hundred thirty-eight million, five hundred nine thousand, three hundred fourteen".