480107454000336 has 80 divisors (see below), whose sum is σ = 1380319738406400. Its totient is φ = 159776440572672.

The previous prime is 480107454000299. The next prime is 480107454000367. The reversal of 480107454000336 is 633000454701084.

480107454000336 is a `hidden beast` number, since 4 + 8 + 0 + 1 + 0 + 74 + 540 + 0 + 0 + 3 + 36 = 666.

It is a super-2 number, since 2×480107454000336² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 480107454000291 and 480107454000300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 900349216 + ... + 900882303.

It is an arithmetic number, because the mean of its divisors is an integer number (17253996730080).

Almost surely, 2^{480107454000336} is an apocalyptic number.

It is an amenable number.

480107454000336 is an abundant number, since it is smaller than the sum of its proper divisors (900212284406064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

480107454000336 is a wasteful number, since it uses less digits than its factorization.

480107454000336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801232153 (or 1801232141 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 480107454000336 in words is "four hundred eighty trillion, one hundred seven billion, four hundred fifty-four million, three hundred thirty-six", and thus it is an aban number.