11961166914064 has 15 divisors (see below), whose sum is σ = 23174787699343. Its totient is φ = 5980576540048.

The previous prime is 11961166914043. The next prime is 11961166914091. The reversal of 11961166914064 is 46041966116911.

The square root of 11961166914064 is 3458492.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11961166913996 and 11961166914014.

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, 13401657 + ... + 14266279.

Almost surely, 2^{11961166914064} is an apocalyptic number.

11961166914064 is the 3458492-nd square number.

It is an amenable number.

11961166914064 is a deficient number, since it is larger than the sum of its proper divisors (11213620785279).

11961166914064 is an frugal number, since it uses more digits than its factorization.

11961166914064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1729254 (or 864625 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 55.

The spelling of 11961166914064 in words is "eleven trillion, nine hundred sixty-one billion, one hundred sixty-six million, nine hundred fourteen thousand, sixty-four".