1109959174116 has 135 divisors (see below), whose sum is σ = 3042461048991. Its totient is φ = 341197193376.

The previous prime is 1109959174099. The next prime is 1109959174133. The reversal of 1109959174116 is 6114719599011.

The square root of 1109959174116 is 1053546.

It is a perfect power (a square), and thus also a powerful number.

1109959174116 is a `hidden beast` number, since 1 + 1 + 0 + 9 + 9 + 591 + 7 + 41 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1109959174099) and next prime (1109959174133).

It can be written as a sum of positive squares in 2 ways, for example, as 550335487716 + 559623686400 = 741846^2 + 748080^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1068295125 + ... + 1068296163.

Almost surely, 2^{1109959174116} is an apocalyptic number.

1109959174116 is the 1053546-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1109959174116

1109959174116 is an abundant number, since it is smaller than the sum of its proper divisors (1932501874875).

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

1109959174116 is an frugal number, since it uses more digits than its factorization.

1109959174116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 1057 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 54.

The spelling of 1109959174116 in words is "one trillion, one hundred nine billion, nine hundred fifty-nine million, one hundred seventy-four thousand, one hundred sixteen".