4555667628801 has 27 divisors (see below), whose sum is σ = 6990428279523. Its totient is φ = 2858389819200.

The previous prime is 4555667628791. The next prime is 4555667628817. The reversal of 4555667628801 is 1088267665554.

The square root of 4555667628801 is 2134401.

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

4555667628801 is a `hidden beast` number, since 4 + 5 + 5 + 566 + 7 + 62 + 8 + 8 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3546800057025 + 1008867571776 = 1883295^2 + 1004424^2 .

It is not a de Polignac number, because 4555667628801 - 2⁹ = 4555667628289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4555667628901) 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, 108833526 + ... + 108875376.

Almost surely, 2^{4555667628801} is an apocalyptic number.

4555667628801 is the 2134401-st square number.

4555667628801 is the 1067201-st centered octagonal number.

It is an amenable number.

4555667628801 is a deficient number, since it is larger than the sum of its proper divisors (2434760650722).

4555667628801 is an frugal number, since it uses more digits than its factorization.

4555667628801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83742 (or 41871 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 4555667628801 in words is "four trillion, five hundred fifty-five billion, six hundred sixty-seven million, six hundred twenty-eight thousand, eight hundred one".