506142505631646 has 128 divisors (see below), whose sum is σ = 1244024178862080. Its totient is φ = 151553074377600.

The previous prime is 506142505631599. The next prime is 506142505631681. The reversal of 506142505631646 is 646136505241605.

506142505631646 is a `hidden beast` number, since 5 + 0 + 6 + 1 + 4 + 25 + 0 + 563 + 16 + 46 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 506142505631592 and 506142505631601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22755865 + ... + 39116676.

It is an arithmetic number, because the mean of its divisors is an integer number (9718938897360).

Almost surely, 2^{506142505631646} is an apocalyptic number.

506142505631646 is an abundant number, since it is smaller than the sum of its proper divisors (737881673230434).

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

506142505631646 is a wasteful number, since it uses less digits than its factorization.

506142505631646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61872879 (or 61872873 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 506142505631646 in words is "five hundred six trillion, one hundred forty-two billion, five hundred five million, six hundred thirty-one thousand, six hundred forty-six".