11691456256000 has 384 divisors, whose sum is σ = 30358566201600. Its totient is φ = 4488727756800.

The previous prime is 11691456255977. The next prime is 11691456256009. The reversal of 11691456256000 is 65265419611.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11691456256009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1284347449 + ... + 1284356551.

It is an arithmetic number, because the mean of its divisors is an integer number (79058766150).

Almost surely, 2^{11691456256000} is an apocalyptic number.

11691456256000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11691456256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15179283100800).

11691456256000 is an abundant number, since it is smaller than the sum of its proper divisors (18667109945600).

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

11691456256000 is an equidigital number, since it uses as much as digits as its factorization.

11691456256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9342 (or 9312 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 46.

The spelling of 11691456256000 in words is "eleven trillion, six hundred ninety-one billion, four hundred fifty-six million, two hundred fifty-six thousand".