506345461146 has 32 divisors (see below), whose sum is σ = 1285956727680. Its totient is φ = 144670131648.

The previous prime is 506345461133. The next prime is 506345461201. The reversal of 506345461146 is 641164543605.

506345461146 is a `hidden beast` number, since 5 + 0 + 6 + 3 + 45 + 461 + 146 = 666.

It is a super-3 number, since 3×506345461146³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 669768751 + ... + 669769506.

It is an arithmetic number, because the mean of its divisors is an integer number (40186147740).

Almost surely, 2^506345461146 is an apocalyptic number.

506345461146 is an abundant number, since it is smaller than the sum of its proper divisors (779611266534).

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

506345461146 is a wasteful number, since it uses less digits than its factorization.

506345461146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339538275 (or 1339538269 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 506345461146 in words is "five hundred six billion, three hundred forty-five million, four hundred sixty-one thousand, one hundred forty-six".