11548608642 has 128 divisors (see below), whose sum is σ = 26819020800. Its totient is φ = 3681018432.

The previous prime is 11548608613. The next prime is 11548608647. The reversal of 11548608642 is 24680684511.

It is a happy number.

11548608642 is a `hidden beast` number, since 1 + 1 + 548 + 60 + 8 + 6 + 42 = 666.

It is not an unprimeable number, because it can be changed into a prime (11548608647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26068873 + ... + 26069315.

It is an arithmetic number, because the mean of its divisors is an integer number (209523600).

Almost surely, 2^11548608642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11548608642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13409510400).

11548608642 is an abundant number, since it is smaller than the sum of its proper divisors (15270412158).

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

11548608642 is a wasteful number, since it uses less digits than its factorization.

11548608642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 11548608642 in words is "eleven billion, five hundred forty-eight million, six hundred eight thousand, six hundred forty-two".