468455134401 has 24 divisors (see below), whose sum is σ = 701891736000. Its totient is φ = 312226458192.

The previous prime is 468455134361. The next prime is 468455134451. The reversal of 468455134401 is 104431554864.

468455134401 is a `hidden beast` number, since 4 + 68 + 4 + 55 + 134 + 401 = 666.

It is not a de Polignac number, because 468455134401 - 2¹⁴ = 468455118017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (468455134451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 759100 + ... + 1230098.

It is an arithmetic number, because the mean of its divisors is an integer number (29245489000).

Almost surely, 2^468455134401 is an apocalyptic number.

It is an amenable number.

468455134401 is a deficient number, since it is larger than the sum of its proper divisors (233436601599).

468455134401 is an equidigital number, since it uses as much as digits as its factorization.

468455134401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475107 (or 475095 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 468455134401 in words is "four hundred sixty-eight billion, four hundred fifty-five million, one hundred thirty-four thousand, four hundred one".