11691407332900 has 27 divisors (see below), whose sum is σ = 25370428110769. Its totient is φ = 4676549256080.

The previous prime is 11691407332861. The next prime is 11691407332901. The reversal of 11691407332900 is 923370419611.

The square root of 11691407332900 is 3419270.

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., 4208906639844 + 7482500693056 = 2051562^2 + 2735416^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11691407332901) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 34021737 + ... + 34363663.

Almost surely, 2^{11691407332900} is an apocalyptic number.

11691407332900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11691407332900 is the 3419270-th square number.

It is an amenable number.

11691407332900 is an abundant number, since it is smaller than the sum of its proper divisors (13679020777869).

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

11691407332900 is an frugal number, since it uses more digits than its factorization.

11691407332900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683868 (or 341934 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 46.

The spelling of 11691407332900 in words is "eleven trillion, six hundred ninety-one billion, four hundred seven million, three hundred thirty-two thousand, nine hundred".