11640693127716 has 45 divisors (see below), whose sum is σ = 30431231779179. Its totient is φ = 3880210571496.

The previous prime is 11640693127711. The next prime is 11640693127769. The reversal of 11640693127716 is 61772139604611.

It is a happy number.

The square root of 11640693127716 is 3411846.

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

11640693127716 is a `hidden beast` number, since 1 + 16 + 406 + 93 + 127 + 7 + 16 = 666.

It is a super-3 number, since 3×11640693127716³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11640693127711) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 61318455 + ... + 61508001.

Almost surely, 2^{11640693127716} is an apocalyptic number.

11640693127716 is the 3411846-th square number.

It is an amenable number.

11640693127716 is an abundant number, since it is smaller than the sum of its proper divisors (18790538651463).

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

11640693127716 is an frugal number, since it uses more digits than its factorization.

11640693127716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 379110 (or 189552 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 11640693127716 in words is "eleven trillion, six hundred forty billion, six hundred ninety-three million, one hundred twenty-seven thousand, seven hundred sixteen".