11106061541064 has 64 divisors (see below), whose sum is σ = 35257338230400. Its totient is φ = 3173160439872.

The previous prime is 11106061540949. The next prime is 11106061541123. The reversal of 11106061541064 is 46014516060111.

11106061541064 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 606 + 1 + 5 + 41 + 0 + 6 + 4 = 666.

11106061541064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 3672637887 + ... + 3672640910.

It is an arithmetic number, because the mean of its divisors is an integer number (550895909850).

Almost surely, 2^{11106061541064} is an apocalyptic number.

11106061541064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11106061541064 is an abundant number, since it is smaller than the sum of its proper divisors (24151276689336).

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

11106061541064 is a wasteful number, since it uses less digits than its factorization.

11106061541064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7345278819 (or 7345278809 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 11106061541064 in words is "eleven trillion, one hundred six billion, sixty-one million, five hundred forty-one thousand, sixty-four".