58368645648 has 180 divisors, whose sum is σ = 174118501908. Its totient is φ = 18249154560.

The previous prime is 58368645617. The next prime is 58368645649. The reversal of 58368645648 is 84654686385.

It is a happy number.

58368645648 is a `hidden beast` number, since 5 + 8 + 3 + 6 + 8 + 64 + 564 + 8 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 514926864 + 57853718784 = 22692^2 + 240528^2 .

It is not an unprimeable number, because it can be changed into a prime (58368645649) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13023568 + ... + 13028048.

Almost surely, 2^58368645648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58368645648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87059250954).

58368645648 is an abundant number, since it is smaller than the sum of its proper divisors (115749856260).

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

58368645648 is a wasteful number, since it uses less digits than its factorization.

58368645648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4842 (or 4816 counting only the distinct ones).

The product of its digits is 132710400, while the sum is 63.

The spelling of 58368645648 in words is "fifty-eight billion, three hundred sixty-eight million, six hundred forty-five thousand, six hundred forty-eight".