1100155547689 has 81 divisors (see below), whose sum is σ = 1319628235863. Its totient is φ = 916304188800.

The previous prime is 1100155547671. The next prime is 1100155547717. The reversal of 1100155547689 is 9867455510011.

The square root of 1100155547689 is 1048883.

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

It can be written as a sum of positive squares in only one way, i.e., 856522485225 + 243633062464 = 925485^2 + 493592^2 .

It is not a de Polignac number, because 1100155547689 - 2⁹ = 1100155547177 is a prime.

It is a super-2 number, since 2×1100155547689² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1100155547609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 13926019552 + ... + 13926019630.

Almost surely, 2^{1100155547689} is an apocalyptic number.

1100155547689 is the 1048883-rd square number.

1100155547689 is the 524442-nd centered octagonal number.

It is an amenable number.

1100155547689 is a deficient number, since it is larger than the sum of its proper divisors (219472688174).

1100155547689 is an frugal number, since it uses more digits than its factorization.

1100155547689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 52.

The spelling of 1100155547689 in words is "one trillion, one hundred billion, one hundred fifty-five million, five hundred forty-seven thousand, six hundred eighty-nine".