1115109119664 has 120 divisors (see below), whose sum is σ = 3150167820800. Its totient is φ = 368201687040.

The previous prime is 1115109119647. The next prime is 1115109119701. The reversal of 1115109119664 is 4669119015111.

1115109119664 is a `hidden beast` number, since 1 + 11 + 510 + 9 + 119 + 6 + 6 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98423952 + ... + 98435280.

Almost surely, 2^{1115109119664} 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 1115109119664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575083910400).

1115109119664 is an abundant number, since it is smaller than the sum of its proper divisors (2035058701136).

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

1115109119664 is a wasteful number, since it uses less digits than its factorization.

1115109119664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17723 (or 17714 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 45.

The spelling of 1115109119664 in words is "one trillion, one hundred fifteen billion, one hundred nine million, one hundred nineteen thousand, six hundred sixty-four".