480791046010705 has 8 divisors (see below), whose sum is σ = 586407439724904. Its totient is φ = 378327380467200.

The previous prime is 480791046010679. The next prime is 480791046010753. The reversal of 480791046010705 is 507010640197084.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 853541320129 + 479937504690576 = 923873^2 + 21907476^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 480791046010705 - 2¹¹ = 480791046008657 is a prime.

It is a super-3 number, since 3×480791046010705³ (a number of 45 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 788182042336 + ... + 788182042945.

It is an arithmetic number, because the mean of its divisors is an integer number (73300929965613).

Almost surely, 2^{480791046010705} is an apocalyptic number.

It is an amenable number.

480791046010705 is a deficient number, since it is larger than the sum of its proper divisors (105616393714199).

480791046010705 is a wasteful number, since it uses less digits than its factorization.

480791046010705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576364085347.

The product of its (nonzero) digits is 1693440, while the sum is 52.

The spelling of 480791046010705 in words is "four hundred eighty trillion, seven hundred ninety-one billion, forty-six million, ten thousand, seven hundred five".