164567337561 has 81 divisors (see below), whose sum is σ = 276185129493. Its totient is φ = 94342382640.

The previous prime is 164567337551. The next prime is 164567337589. The reversal of 164567337561 is 165733765461.

The square root of 164567337561 is 405669.

It is a perfect power (a square), and thus also a powerful number.

164567337561 is a `hidden beast` number, since 1 + 6 + 4 + 5 + 6 + 73 + 3 + 7 + 561 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-164567337561 is a prime.

It is a super-2 number, since 2×164567337561² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 164567337498 and 164567337507.

It is not an unprimeable number, because it can be changed into a prime (164567337551) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 254354140 + ... + 254354786.

Almost surely, 2^164567337561 is an apocalyptic number.

164567337561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

164567337561 is the 405669-th square number.

164567337561 is the 202835-th centered octagonal number.

It is an amenable number.

164567337561 is a deficient number, since it is larger than the sum of its proper divisors (111617791932).

164567337561 is an equidigital number, since it uses as much as digits as its factorization.

164567337561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 680 counting only the distinct ones).

The product of its digits is 9525600, while the sum is 54.

The spelling of 164567337561 in words is "one hundred sixty-four billion, five hundred sixty-seven million, three hundred thirty-seven thousand, five hundred sixty-one".