164357565753461 has 4 divisors (see below), whose sum is σ = 166204279975500. Its totient is φ = 162510851531424.

The previous prime is 164357565753449. The next prime is 164357565753463.

164357565753461 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 109066295397361 + 55291270356100 = 10443481^2 + 7435810^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-164357565753461 is a prime.

It is a super-2 number, since 2×164357565753461² (a number of 29 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 = 164357565753391 and 164357565753400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164357565753463) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 923357110886 + ... + 923357111063.

It is an arithmetic number, because the mean of its divisors is an integer number (41551069993875).

Almost surely, 2^{164357565753461} is an apocalyptic number.

It is an amenable number.

164357565753461 is a deficient number, since it is larger than the sum of its proper divisors (1846714222039).

164357565753461 is an equidigital number, since it uses as much as digits as its factorization.

164357565753461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846714222038.

The product of its digits is 952560000, while the sum is 68.

The spelling of 164357565753461 in words is "one hundred sixty-four trillion, three hundred fifty-seven billion, five hundred sixty-five million, seven hundred fifty-three thousand, four hundred sixty-one".