264094968498001 has 9 divisors (see below), whose sum is σ = 264366297149403. Its totient is φ = 263823918085680.

The previous prime is 264094968497951. The next prime is 264094968498013. The reversal of 264094968498001 is 100894869490462.

It is a happy number.

The square root of 264094968498001 is 16250999.

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

It can be written as a sum of positive squares in only one way, i.e., 263015447498001 + 1079521000000 = 16217751^2 + 1039000^2 .

It is not a de Polignac number, because 264094968498001 - 2²⁷ = 264094834280273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (264094968498091) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 16884780141 + ... + 16884795781.

Almost surely, 2^{264094968498001} is an apocalyptic number.

264094968498001 is the 16250999-th square number.

264094968498001 is the 8125500-th centered octagonal number.

It is an amenable number.

264094968498001 is a deficient number, since it is larger than the sum of its proper divisors (271328651402).

264094968498001 is an frugal number, since it uses more digits than its factorization.

264094968498001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33360 (or 16680 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 70.

The spelling of 264094968498001 in words is "two hundred sixty-four trillion, ninety-four billion, nine hundred sixty-eight million, four hundred ninety-eight thousand, one".