11240205641064 has 128 divisors (see below), whose sum is σ = 32915725516800. Its totient is φ = 3548726458560.

The previous prime is 11240205641051. The next prime is 11240205641099. The reversal of 11240205641064 is 46014650204211.

11240205641064 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 0 + 2 + 0 + 5 + 641 + 0 + 6 + 4 = 666.

It is a super-3 number, since 3×11240205641064³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17543212 + ... + 18172635.

It is an arithmetic number, because the mean of its divisors is an integer number (257154105600).

Almost surely, 2^{11240205641064} is an apocalyptic number.

It is an amenable number.

11240205641064 is an abundant number, since it is smaller than the sum of its proper divisors (21675519875736).

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

11240205641064 is a wasteful number, since it uses less digits than its factorization.

11240205641064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35715940 (or 35715930 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 11240205641064 its reverse (46014650204211), we get a palindrome (57254855845275).

The spelling of 11240205641064 in words is "eleven trillion, two hundred forty billion, two hundred five million, six hundred forty-one thousand, sixty-four".