164304313501361 has 36 divisors (see below), whose sum is σ = 193397179345860. Its totient is φ = 139388598835200.

The previous prime is 164304313501343. The next prime is 164304313501369. The reversal of 164304313501361 is 163105313403461.

It can be written as a sum of positive squares in 2 ways, for example, as 7003327104400 + 157300986396961 = 2646380^2 + 12541969^2 .

It is not a de Polignac number, because 164304313501361 - 2³⁴ = 164287133632177 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164304313501369) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28679216 + ... + 33927953.

Almost surely, 2^{164304313501361} is an apocalyptic number.

164304313501361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

164304313501361 is a deficient number, since it is larger than the sum of its proper divisors (29092865844499).

164304313501361 is a wasteful number, since it uses less digits than its factorization.

164304313501361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62607278 (or 62607244 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 41.

The spelling of 164304313501361 in words is "one hundred sixty-four trillion, three hundred four billion, three hundred thirteen million, five hundred one thousand, three hundred sixty-one".