11065296214116 has 189 divisors, whose sum is σ = 29269263165051. Its totient is φ = 3658673613888.

The previous prime is 11065296214097. The next prime is 11065296214129. The reversal of 11065296214116 is 61141269256011.

The square root of 11065296214116 is 3326454.

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

11065296214116 is a `hidden beast` number, since 1 + 1 + 0 + 6 + 5 + 2 + 9 + 621 + 4 + 1 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 359254116 + 11064936960000 = 18954^2 + 3326400^2 .

It is a super-2 number, since 2×11065296214116² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 41134930030 + ... + 41134930298.

Almost surely, 2^{11065296214116} is an apocalyptic number.

11065296214116 is the 3326454-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11065296214116

11065296214116 is an abundant number, since it is smaller than the sum of its proper divisors (18203966950935).

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

11065296214116 is an frugal number, since it uses more digits than its factorization.

11065296214116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 11065296214116 in words is "eleven trillion, sixty-five billion, two hundred ninety-six million, two hundred fourteen thousand, one hundred sixteen".