1106511515681 has 16 divisors (see below), whose sum is σ = 1304583815808. Its totient is φ = 925236681600.

The previous prime is 1106511515617. The next prime is 1106511515687. The reversal of 1106511515681 is 1865151156011.

It is not a de Polignac number, because 1106511515681 - 2⁶ = 1106511515617 is a prime.

It is a super-2 number, since 2×1106511515681² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1106511515687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13728221 + ... + 13808586.

It is an arithmetic number, because the mean of its divisors is an integer number (81536488488).

Almost surely, 2^{1106511515681} is an apocalyptic number.

1106511515681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1106511515681 is a deficient number, since it is larger than the sum of its proper divisors (198072300127).

1106511515681 is a wasteful number, since it uses less digits than its factorization.

1106511515681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27537112.

The product of its (nonzero) digits is 36000, while the sum is 41.

The spelling of 1106511515681 in words is "one trillion, one hundred six billion, five hundred eleven million, five hundred fifteen thousand, six hundred eighty-one".