454414301230401 has 48 divisors (see below), whose sum is σ = 695393304624720. Its totient is φ = 284955857141760.

The previous prime is 454414301230339. The next prime is 454414301230429. The reversal of 454414301230401 is 104032103414454.

It is a happy number.

454414301230401 is a `hidden beast` number, since 4 + 5 + 4 + 4 + 14 + 3 + 0 + 1 + 230 + 401 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 250295087025 + 454164006143376 = 500295^2 + 21311124^2 .

It is not a de Polignac number, because 454414301230401 - 2²³ = 454414292841793 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (454414301230801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5252754735 + ... + 5252841243.

It is an arithmetic number, because the mean of its divisors is an integer number (14487360513015).

Almost surely, 2^{454414301230401} is an apocalyptic number.

It is an amenable number.

454414301230401 is a deficient number, since it is larger than the sum of its proper divisors (240979003394319).

454414301230401 is a wasteful number, since it uses less digits than its factorization.

454414301230401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106226 (or 106223 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 454414301230401 its reverse (104032103414454), we get a palindrome (558446404644855).

The spelling of 454414301230401 in words is "four hundred fifty-four trillion, four hundred fourteen billion, three hundred one million, two hundred thirty thousand, four hundred one".