164763545367461 has 12 divisors (see below), whose sum is σ = 166691651088996. Its totient is φ = 162857120659200.

The previous prime is 164763545367413. The next prime is 164763545367481.

164763545367461 is nontrivially palindromic in base 10.

164763545367461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 93468657790561 + 71294887576900 = 9667919^2 + 8443630^2 .

It is not a de Polignac number, because 164763545367461 - 2¹⁴ = 164763545351077 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 164763545367391 and 164763545367400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164763545367401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7569446 + ... + 19667831.

It is an arithmetic number, because the mean of its divisors is an integer number (13890970924083).

Almost surely, 2^{164763545367461} is an apocalyptic number.

It is an amenable number.

164763545367461 is a deficient number, since it is larger than the sum of its proper divisors (1928105721535).

164763545367461 is an equidigital number, since it uses as much as digits as its factorization.

164763545367461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27238072 (or 27237971 counting only the distinct ones).

The product of its digits is 914457600, while the sum is 68.

The spelling of 164763545367461 in words is "one hundred sixty-four trillion, seven hundred sixty-three billion, five hundred forty-five million, three hundred sixty-seven thousand, four hundred sixty-one".