264434634514361 has 16 divisors (see below), whose sum is σ = 274997930288400. Its totient is φ = 253968193210368.

The previous prime is 264434634514319. The next prime is 264434634514363. The reversal of 264434634514361 is 163415436434462.

It can be written as a sum of positive squares in 8 ways, for example, as 16749833134336 + 247684801380025 = 4092656^2 + 15738005^2 .

It is a cyclic number.

It is not a de Polignac number, because 264434634514361 - 2²⁶ = 264434567405497 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 264434634514297 and 264434634514306.

It is not an unprimeable number, because it can be changed into a prime (264434634514363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23197121 + ... + 32664593.

It is an arithmetic number, because the mean of its divisors is an integer number (17187370643025).

Almost surely, 2^{264434634514361} is an apocalyptic number.

It is an amenable number.

264434634514361 is a deficient number, since it is larger than the sum of its proper divisors (10563295774039).

264434634514361 is a wasteful number, since it uses less digits than its factorization.

264434634514361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9472588.

The product of its digits is 59719680, while the sum is 56.

The spelling of 264434634514361 in words is "two hundred sixty-four trillion, four hundred thirty-four billion, six hundred thirty-four million, five hundred fourteen thousand, three hundred sixty-one".