480853642706567 has 32 divisors (see below), whose sum is σ = 527096162436480. Its totient is φ = 435954337297920.

The previous prime is 480853642706557. The next prime is 480853642706597. The reversal of 480853642706567 is 765607246358084.

It is not a de Polignac number, because 480853642706567 - 2¹⁰ = 480853642705543 is a prime.

It is a super-3 number, since 3×480853642706567³ (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 480853642706567.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480853642706557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8154593318 + ... + 8154652284.

It is an arithmetic number, because the mean of its divisors is an integer number (16471755076140).

Almost surely, 2^{480853642706567} is an apocalyptic number.

480853642706567 is a deficient number, since it is larger than the sum of its proper divisors (46242519729913).

480853642706567 is a wasteful number, since it uses less digits than its factorization.

480853642706567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73803.

The product of its (nonzero) digits is 1625702400, while the sum is 71.

The spelling of 480853642706567 in words is "four hundred eighty trillion, eight hundred fifty-three billion, six hundred forty-two million, seven hundred six thousand, five hundred sixty-seven".