264454091001 has 15 divisors (see below), whose sum is σ = 395055617781. Its totient is φ = 176299641828.

The previous prime is 264454090933. The next prime is 264454091003. The reversal of 264454091001 is 100190454462.

The square root of 264454091001 is 514251.

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

264454091001 is a `hidden beast` number, since 2 + 6 + 4 + 4 + 540 + 9 + 100 + 1 = 666.

It is not a de Polignac number, because 264454091001 - 2⁹ = 264454090489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (264454091003) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4599690 + ... + 4656828.

Almost surely, 2^264454091001 is an apocalyptic number.

264454091001 is the 514251-st square number.

264454091001 is the 257126-th centered octagonal number.

It is an amenable number.

264454091001 is a deficient number, since it is larger than the sum of its proper divisors (130601526780).

264454091001 is an frugal number, since it uses more digits than its factorization.

264454091001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114290 (or 57142 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 264454091001 by its sum of digits (36), we get a square (9520347276036 = 3085506²).

The spelling of 264454091001 in words is "two hundred sixty-four billion, four hundred fifty-four million, ninety-one thousand, one".