480953868201 has 12 divisors (see below), whose sum is σ = 694749569280. Its totient is φ = 320618176920.

The previous prime is 480953868167. The next prime is 480953868229. The reversal of 480953868201 is 102868359084.

480953868201 is a `hidden beast` number, since 4 + 80 + 9 + 538 + 6 + 8 + 20 + 1 = 666.

It is not a de Polignac number, because 480953868201 - 2⁶ = 480953868137 is a prime.

It is a super-3 number, since 3×480953868201³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (480953868281) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1305121 + ... + 1632558.

It is an arithmetic number, because the mean of its divisors is an integer number (57895797440).

Almost surely, 2^480953868201 is an apocalyptic number.

It is an amenable number.

480953868201 is a deficient number, since it is larger than the sum of its proper divisors (213795701079).

480953868201 is a wasteful number, since it uses less digits than its factorization.

480953868201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2955876 (or 2955873 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 480953868201 in words is "four hundred eighty billion, nine hundred fifty-three million, eight hundred sixty-eight thousand, two hundred one".