480853601133633 has 128 divisors (see below), whose sum is σ = 881800354713600. Its totient is φ = 252182308262400.

The previous prime is 480853601133599. The next prime is 480853601133691. The reversal of 480853601133633 is 336331106358084.

480853601133633 is a `hidden beast` number, since 4 + 8 + 0 + 8 + 536 + 0 + 11 + 33 + 63 + 3 = 666.

It is not a de Polignac number, because 480853601133633 - 2⁸ = 480853601133377 is a prime.

It is a super-3 number, since 3×480853601133633³ (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 480853601133633.

It is not an unprimeable number, because it can be changed into a prime (480853601133133) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3065788293 + ... + 3065945133.

It is an arithmetic number, because the mean of its divisors is an integer number (6889065271200).

Almost surely, 2^{480853601133633} is an apocalyptic number.

It is an amenable number.

480853601133633 is a deficient number, since it is larger than the sum of its proper divisors (400946753579967).

480853601133633 is a wasteful number, since it uses less digits than its factorization.

480853601133633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164020 (or 164014 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 480853601133633 in words is "four hundred eighty trillion, eight hundred fifty-three billion, six hundred one million, one hundred thirty-three thousand, six hundred thirty-three".