164351412040561 has 16 divisors (see below), whose sum is σ = 175078361668608. Its totient is φ = 153743524998400.

The previous prime is 164351412040547. The next prime is 164351412040567. The reversal of 164351412040561 is 165040214153461.

It is a cyclic number.

It is not a de Polignac number, because 164351412040561 - 2¹⁵ = 164351412007793 is a prime.

It is a super-2 number, since 2×164351412040561² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164351412040567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17594755 + ... + 25264168.

It is an arithmetic number, because the mean of its divisors is an integer number (10942397604288).

Almost surely, 2^{164351412040561} is an apocalyptic number.

It is an amenable number.

164351412040561 is a deficient number, since it is larger than the sum of its proper divisors (10726949628047).

164351412040561 is a wasteful number, since it uses less digits than its factorization.

164351412040561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42860312.

The product of its (nonzero) digits is 345600, while the sum is 43.

The spelling of 164351412040561 in words is "one hundred sixty-four trillion, three hundred fifty-one billion, four hundred twelve million, forty thousand, five hundred sixty-one".