1188111767105 has 16 divisors (see below), whose sum is σ = 1438275435984. Its totient is φ = 942149160960.

The previous prime is 1188111767069. The next prime is 1188111767123. The reversal of 1188111767105 is 5017671118811.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 32478167089 + 1155633600016 = 180217^2 + 1075004^2 .

It is not a de Polignac number, because 1188111767105 - 2¹⁸ = 1188111504961 is a prime.

It is a super-2 number, since 2×1188111767105² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1188111767105.

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, 827606 + ... + 1749615.

It is an arithmetic number, because the mean of its divisors is an integer number (89892214749).

Almost surely, 2^{1188111767105} is an apocalyptic number.

It is an amenable number.

1188111767105 is a deficient number, since it is larger than the sum of its proper divisors (250163668879).

1188111767105 is a wasteful number, since it uses less digits than its factorization.

1188111767105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2578036.

The product of its (nonzero) digits is 94080, while the sum is 47.

The spelling of 1188111767105 in words is "one trillion, one hundred eighty-eight billion, one hundred eleven million, seven hundred sixty-seven thousand, one hundred five".