12355417505 has 32 divisors (see below), whose sum is σ = 16510998528. Its totient is φ = 8832844800.

The previous prime is 12355417493. The next prime is 12355417517. The reversal of 12355417505 is 50571455321.

It is an interprime number because it is at equal distance from previous prime (12355417493) and next prime (12355417517).

It is not a de Polignac number, because 12355417505 - 2³⁰ = 11281675681 is a prime.

It is a super-4 number, since 4×12355417505⁴ (a number of 41 digits) contains 4444 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95420 + ... + 183890.

It is an arithmetic number, because the mean of its divisors is an integer number (515968704).

Almost surely, 2^12355417505 is an apocalyptic number.

It is an amenable number.

12355417505 is a deficient number, since it is larger than the sum of its proper divisors (4155581023).

12355417505 is a wasteful number, since it uses less digits than its factorization.

12355417505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88577.

The product of its (nonzero) digits is 105000, while the sum is 38.

The spelling of 12355417505 in words is "twelve billion, three hundred fifty-five million, four hundred seventeen thousand, five hundred five".