264949811643841 has 27 divisors (see below), whose sum is σ = 284412167720937. Its totient is φ = 246768758369280.

The previous prime is 264949811643817. The next prime is 264949811643857. The reversal of 264949811643841 is 148346118949462.

The square root of 264949811643841 is 16277279.

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

It can be written as a sum of positive squares in 4 ways, for example, as 15512010683841 + 249437800960000 = 3938529^2 + 15793600^2 .

It is not a de Polignac number, because 264949811643841 - 2⁵ = 264949811643809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (264949811643541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26841228136 + ... + 26841238006.

Almost surely, 2^{264949811643841} is an apocalyptic number.

264949811643841 is the 16277279-th square number.

264949811643841 is the 8138640-th centered octagonal number.

It is an amenable number.

264949811643841 is a deficient number, since it is larger than the sum of its proper divisors (19462356077096).

264949811643841 is an frugal number, since it uses more digits than its factorization.

264949811643841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19970 (or 9985 counting only the distinct ones).

The product of its digits is 286654464, while the sum is 70.

The spelling of 264949811643841 in words is "two hundred sixty-four trillion, nine hundred forty-nine billion, eight hundred eleven million, six hundred forty-three thousand, eight hundred forty-one".