264100404649 has 9 divisors (see below), whose sum is σ = 265042656151. Its totient is φ = 263161496560.

The previous prime is 264100404641. The next prime is 264100404671. The reversal of 264100404649 is 946404001462.

The square root of 264100404649 is 513907.

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., 113059355049 + 151041049600 = 336243^2 + 388640^2 .

It is not a de Polignac number, because 264100404649 - 2³ = 264100404641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (264100404641) 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, 178324989 + ... + 178326469.

Almost surely, 2^264100404649 is an apocalyptic number.

264100404649 is the 513907-th square number.

264100404649 is the 256954-th centered octagonal number.

It is an amenable number.

264100404649 is a deficient number, since it is larger than the sum of its proper divisors (942251502).

264100404649 is an frugal number, since it uses more digits than its factorization.

264100404649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3656 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

The spelling of 264100404649 in words is "two hundred sixty-four billion, one hundred million, four hundred four thousand, six hundred forty-nine".