11346064665664 has 21 divisors (see below), whose sum is σ = 22514900544277. Its totient is φ = 5673018859264.

The previous prime is 11346064665641. The next prime is 11346064665709. The reversal of 11346064665664 is 46656646064311.

The square root of 11346064665664 is 3368392.

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., 10145550003264 + 1200514662400 = 3185208^2 + 1095680^2 .

It is a super-2 number, since 2×11346064665664² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11346064665599 and 11346064665608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 26736612 + ... + 27157660.

Almost surely, 2^{11346064665664} is an apocalyptic number.

11346064665664 is the 3368392-nd square number.

It is an amenable number.

11346064665664 is a deficient number, since it is larger than the sum of its proper divisors (11168835878613).

11346064665664 is an frugal number, since it uses more digits than its factorization.

11346064665664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842110 (or 421051 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 58.

The spelling of 11346064665664 in words is "eleven trillion, three hundred forty-six billion, sixty-four million, six hundred sixty-five thousand, six hundred sixty-four".