164661608761 has 16 divisors (see below), whose sum is σ = 184781696400. Its totient is φ = 145682869248.

The previous prime is 164661608723. The next prime is 164661608767. The reversal of 164661608761 is 167806166461.

It can be written as a sum of positive squares in 8 ways, for example, as 29104360000 + 135557248761 = 170600^2 + 368181^2 .

It is a cyclic number.

It is not a de Polignac number, because 164661608761 - 2⁹ = 164661608249 is a prime.

It is a super-2 number, since 2×164661608761² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 164661608699 and 164661608708.

It is not an unprimeable number, because it can be changed into a prime (164661608767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1542396 + ... + 1645693.

It is an arithmetic number, because the mean of its divisors is an integer number (11548856025).

Almost surely, 2^164661608761 is an apocalyptic number.

It is an amenable number.

164661608761 is a deficient number, since it is larger than the sum of its proper divisors (20120087639).

164661608761 is a wasteful number, since it uses less digits than its factorization.

164661608761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3188268.

The product of its (nonzero) digits is 1741824, while the sum is 52.

The spelling of 164661608761 in words is "one hundred sixty-four billion, six hundred sixty-one million, six hundred eight thousand, seven hundred sixty-one".