601536648042 has 192 divisors, whose sum is σ = 1509746853888. Its totient is φ = 171448992000.

The previous prime is 601536648029. The next prime is 601536648047. The reversal of 601536648042 is 240846635106.

601536648042 is a `hidden beast` number, since 60 + 1 + 53 + 66 + 480 + 4 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (601536648047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25551817 + ... + 25575347.

It is an arithmetic number, because the mean of its divisors is an integer number (7863264864).

Almost surely, 2^601536648042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 601536648042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754873426944).

601536648042 is an abundant number, since it is smaller than the sum of its proper divisors (908210205846).

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

601536648042 is a wasteful number, since it uses less digits than its factorization.

601536648042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23705 (or 23702 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 601536648042 in words is "six hundred one billion, five hundred thirty-six million, six hundred forty-eight thousand, forty-two".