480505422737365 has 64 divisors (see below), whose sum is σ = 600570788126400. Its totient is φ = 368618329497600.

The previous prime is 480505422737359. The next prime is 480505422737371. The reversal of 480505422737365 is 563737224505084.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (480505422737359) and next prime (480505422737371).

It can be written as a sum of positive squares in 32 ways, for example, as 233515501313796 + 246989921423569 = 15281214^2 + 15715913^2 .

It is not a de Polignac number, because 480505422737365 - 2¹³ = 480505422729173 is a prime.

It is a super-2 number, since 2×480505422737365² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37038876019 + ... + 37038888991.

It is an arithmetic number, because the mean of its divisors is an integer number (9383918564475).

Almost surely, 2^{480505422737365} is an apocalyptic number.

It is an amenable number.

480505422737365 is a deficient number, since it is larger than the sum of its proper divisors (120065365389035).

480505422737365 is a wasteful number, since it uses less digits than its factorization.

480505422737365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15898.

The product of its (nonzero) digits is 169344000, while the sum is 61.

The spelling of 480505422737365 in words is "four hundred eighty trillion, five hundred five billion, four hundred twenty-two million, seven hundred thirty-seven thousand, three hundred sixty-five".