454948901001 has 27 divisors (see below), whose sum is σ = 764461750221. Its totient is φ = 259962706584.

The previous prime is 454948900949. The next prime is 454948901047. The reversal of 454948901001 is 100109849454.

It is a happy number.

The square root of 454948901001 is 674499.

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

454948901001 is a `hidden beast` number, since 4 + 549 + 4 + 8 + 90 + 10 + 0 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-454948901001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (454948901201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14148420 + ... + 14180538.

Almost surely, 2^454948901001 is an apocalyptic number.

454948901001 is the 674499-th square number.

454948901001 is the 337250-th centered octagonal number.

It is an amenable number.

454948901001 is a deficient number, since it is larger than the sum of its proper divisors (309512849220).

454948901001 is an frugal number, since it uses more digits than its factorization.

454948901001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64258 (or 32129 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 454948901001 in words is "four hundred fifty-four billion, nine hundred forty-eight million, nine hundred one thousand, one".