502645785406461 has 6 divisors (see below), whose sum is σ = 726043912253790. Its totient is φ = 335097190270968.

The previous prime is 502645785406441. The next prime is 502645785406601. The reversal of 502645785406461 is 164604587546205.

502645785406461 is a `hidden beast` number, since 5 + 0 + 2 + 6 + 4 + 57 + 85 + 40 + 6 + 461 = 666.

It can be written as a sum of positive squares in only one way, i.e., 489061327202361 + 13584458204100 = 22114731^2 + 3685710^2 .

It is not a de Polignac number, because 502645785406461 - 2⁴⁵ = 467461413317629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (502645785406411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 27924765855906 + ... + 27924765855923.

It is an arithmetic number, because the mean of its divisors is an integer number (121007318708965).

Almost surely, 2^{502645785406461} is an apocalyptic number.

It is an amenable number.

502645785406461 is a deficient number, since it is larger than the sum of its proper divisors (223398126847329).

502645785406461 is a wasteful number, since it uses less digits than its factorization.

502645785406461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55849531711835 (or 55849531711832 counting only the distinct ones).

The product of its (nonzero) digits is 193536000, while the sum is 63.

The spelling of 502645785406461 in words is "five hundred two trillion, six hundred forty-five billion, seven hundred eighty-five million, four hundred six thousand, four hundred sixty-one".