468525191121 has 27 divisors (see below), whose sum is σ = 732863208987. Its totient is φ = 288306766800.

The previous prime is 468525191107. The next prime is 468525191129. The reversal of 468525191121 is 121191525864.

The square root of 468525191121 is 684489.

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

468525191121 is a `hidden beast` number, since 4 + 6 + 8 + 5 + 2 + 519 + 1 + 121 = 666.

It can be written as a sum of positive squares in only one way, i.e., 69308460225 + 399216730896 = 263265^2 + 631836^2 .

It is not a de Polignac number, because 468525191121 - 2¹³ = 468525182929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (468525191129) 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, 26686296 + ... + 26703846.

Almost surely, 2^468525191121 is an apocalyptic number.

468525191121 is the 684489-th square number.

468525191121 is the 342245-th centered octagonal number.

It is an amenable number.

468525191121 is a deficient number, since it is larger than the sum of its proper divisors (264338017866).

468525191121 is an frugal number, since it uses more digits than its factorization.

468525191121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35134 (or 17567 counting only the distinct ones).

The product of its digits is 172800, while the sum is 45.

The spelling of 468525191121 in words is "four hundred sixty-eight billion, five hundred twenty-five million, one hundred ninety-one thousand, one hundred twenty-one".