454965089121 has 27 divisors (see below), whose sum is σ = 680702107449. Its totient is φ = 292813319232.

The previous prime is 454965089101. The next prime is 454965089147. The reversal of 454965089121 is 121980569454.

The square root of 454965089121 is 674511.

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

454965089121 is a `hidden beast` number, since 4 + 5 + 4 + 9 + 6 + 508 + 9 + 121 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 207594140625 + 247370948496 = 455625^2 + 497364^2 .

It is not a de Polignac number, because 454965089121 - 2¹⁵ = 454965056353 is a prime.

It is not an unprimeable number, because it can be changed into a prime (454965089101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 58678581 + ... + 58686333.

Almost surely, 2^454965089121 is an apocalyptic number.

454965089121 is the 674511-st square number.

454965089121 is the 337256-th centered octagonal number.

It is an amenable number.

454965089121 is a deficient number, since it is larger than the sum of its proper divisors (225737018328).

454965089121 is an frugal number, since it uses more digits than its factorization.

454965089121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15570 (or 7785 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 454965089121 in words is "four hundred fifty-four billion, nine hundred sixty-five million, eighty-nine thousand, one hundred twenty-one".