505112210564445 has 240 divisors, whose sum is σ = 1005331121034240. Its totient is φ = 242426179100160.

The previous prime is 505112210564371. The next prime is 505112210564449. The reversal of 505112210564445 is 544465012211505.

505112210564445 is a `hidden beast` number, since 5 + 0 + 5 + 11 + 22 + 10 + 564 + 4 + 45 = 666.

It is not a de Polignac number, because 505112210564445 - 2¹⁴ = 505112210548061 is a prime.

It is a super-2 number, since 2×505112210564445² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 505112210564445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505112210564449) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 13209327636 + ... + 13209365874.

It is an arithmetic number, because the mean of its divisors is an integer number (4188879670976).

Almost surely, 2^{505112210564445} is an apocalyptic number.

505112210564445 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

505112210564445 is a deficient number, since it is larger than the sum of its proper divisors (500218910469795).

505112210564445 is a wasteful number, since it uses less digits than its factorization.

505112210564445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40998 (or 40978 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

The spelling of 505112210564445 in words is "five hundred five trillion, one hundred twelve billion, two hundred ten million, five hundred sixty-four thousand, four hundred forty-five".