11964708672016 has 45 divisors (see below), whose sum is σ = 24009358889581. Its totient is φ = 5775872551232.

The previous prime is 11964708672001. The next prime is 11964708672017. The reversal of 11964708672016 is 61027680746911.

The square root of 11964708672016 is 3459004.

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., 6274003001616 + 5690705670400 = 2504796^2 + 2385520^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11964708672017) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 401229555 + ... + 401259373.

Almost surely, 2^{11964708672016} is an apocalyptic number.

11964708672016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11964708672016 is the 3459004-th square number.

It is an amenable number.

11964708672016 is an abundant number, since it is smaller than the sum of its proper divisors (12044650217565).

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

11964708672016 is an frugal number, since it uses more digits than its factorization.

11964708672016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59704 (or 29850 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 58.

The spelling of 11964708672016 in words is "eleven trillion, nine hundred sixty-four billion, seven hundred eight million, six hundred seventy-two thousand, sixteen".