1468456816401 has 9 divisors (see below), whose sum is σ = 2121109541499. Its totient is φ = 978968787336.

The previous prime is 1468456816373. The next prime is 1468456816447. The reversal of 1468456816401 is 1046186548641.

The square root of 1468456816401 is 1211799.

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

1468456816401 is a `hidden beast` number, since 1 + 4 + 68 + 4 + 568 + 16 + 4 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 858689489025 + 609767327376 = 926655^2 + 780876^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1468456816401 - 2²⁹ = 1467919945489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1468456816471) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3433431 + ... + 3837363.

Almost surely, 2^{1468456816401} is an apocalyptic number.

1468456816401 is the 1211799-th square number.

1468456816401 is the 605900-th centered octagonal number.

It is an amenable number.

1468456816401 is a deficient number, since it is larger than the sum of its proper divisors (652652725098).

1468456816401 is an frugal number, since it uses more digits than its factorization.

1468456816401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807872 (or 403936 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 1468456816401 in words is "one trillion, four hundred sixty-eight billion, four hundred fifty-six million, eight hundred sixteen thousand, four hundred one".