264441131152205 has 32 divisors (see below), whose sum is σ = 363985599124224. Its totient is φ = 180669471008256.

The previous prime is 264441131152157. The next prime is 264441131152229. The reversal of 264441131152205 is 502251131144462.

It is a cyclic number.

It is not a de Polignac number, because 264441131152205 - 2²⁰ = 264441130103629 is a prime.

It is a super-2 number, since 2×264441131152205² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84568577 + ... + 87639753.

It is an arithmetic number, because the mean of its divisors is an integer number (11374549972632).

Almost surely, 2^{264441131152205} is an apocalyptic number.

It is an amenable number.

264441131152205 is a deficient number, since it is larger than the sum of its proper divisors (99544467972019).

264441131152205 is a wasteful number, since it uses less digits than its factorization.

264441131152205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3080165.

The product of its (nonzero) digits is 230400, while the sum is 41.

Adding to 264441131152205 its reverse (502251131144462), we get a palindrome (766692262296667).

The spelling of 264441131152205 in words is "two hundred sixty-four trillion, four hundred forty-one billion, one hundred thirty-one million, one hundred fifty-two thousand, two hundred five".