480842218836351 has 32 divisors (see below), whose sum is σ = 730230859512000. Its totient is φ = 312617751519744.

The previous prime is 480842218836293. The next prime is 480842218836361. The reversal of 480842218836351 is 153638812248084.

480842218836351 is a `hidden beast` number, since 4 + 8 + 0 + 8 + 4 + 2 + 218 + 8 + 363 + 51 = 666.

It is not a de Polignac number, because 480842218836351 - 2²⁹ = 480841681965439 is a prime.

It is a super-3 number, since 3×480842218836351³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480842218836361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1370377996 + ... + 1370728833.

It is an arithmetic number, because the mean of its divisors is an integer number (22819714359750).

Almost surely, 2^{480842218836351} is an apocalyptic number.

480842218836351 is a deficient number, since it is larger than the sum of its proper divisors (249388640675649).

480842218836351 is a wasteful number, since it uses less digits than its factorization.

480842218836351 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741107000 (or 2741106994 counting only the distinct ones).

The product of its (nonzero) digits is 70778880, while the sum is 63.

The spelling of 480842218836351 in words is "four hundred eighty trillion, eight hundred forty-two billion, two hundred eighteen million, eight hundred thirty-six thousand, three hundred fifty-one".