505212114645 has 288 divisors, whose sum is σ = 1120810728960. Its totient is φ = 205773004800.

The previous prime is 505212114637. The next prime is 505212114707. The reversal of 505212114645 is 546411212505.

505212114645 is a `hidden beast` number, since 5 + 0 + 5 + 2 + 1 + 2 + 1 + 1 + 4 + 645 = 666.

It is not a de Polignac number, because 505212114645 - 2³ = 505212114637 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 211473111 + ... + 211475499.

It is an arithmetic number, because the mean of its divisors is an integer number (3891703920).

Almost surely, 2^505212114645 is an apocalyptic number.

It is an amenable number.

505212114645 is an abundant number, since it is smaller than the sum of its proper divisors (615598614315).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

505212114645 is a wasteful number, since it uses less digits than its factorization.

505212114645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2565 (or 2545 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 505212114645 in words is "five hundred five billion, two hundred twelve million, one hundred fourteen thousand, six hundred forty-five".