454461436044441 has 128 divisors (see below), whose sum is σ = 817785124531200. Its totient is φ = 244342917273600.

The previous prime is 454461436044439. The next prime is 454461436044491. The reversal of 454461436044441 is 144440634164454.

It is a happy number.

454461436044441 is a `hidden beast` number, since 4 + 5 + 4 + 4 + 61 + 43 + 60 + 44 + 441 = 666.

It is not a de Polignac number, because 454461436044441 - 2¹ = 454461436044439 is a prime.

It is not an unprimeable number, because it can be changed into a prime (454461436044401) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3169093341 + ... + 3169236741.

It is an arithmetic number, because the mean of its divisors is an integer number (6388946285400).

Almost surely, 2^{454461436044441} is an apocalyptic number.

It is an amenable number.

454461436044441 is a deficient number, since it is larger than the sum of its proper divisors (363323688486759).

454461436044441 is a wasteful number, since it uses less digits than its factorization.

454461436044441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146881 (or 146841 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 54.

The spelling of 454461436044441 in words is "four hundred fifty-four trillion, four hundred sixty-one billion, four hundred thirty-six million, forty-four thousand, four hundred forty-one".