11294131978752 has 480 divisors, whose sum is σ = 35601003389952. Its totient is φ = 3114841153536.

The previous prime is 11294131978733. The next prime is 11294131978757. The reversal of 11294131978752 is 25787913149211.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11294131978757) 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 47 ways as a sum of consecutive naturals, for example, 23191235853 + ... + 23191236339.

Almost surely, 2^{11294131978752} is an apocalyptic number.

11294131978752 is a gapful number since it is divisible by the number (12) 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 11294131978752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17800501694976).

11294131978752 is an abundant number, since it is smaller than the sum of its proper divisors (24306871411200).

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

11294131978752 is an frugal number, since it uses more digits than its factorization.

11294131978752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 645 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 60.

The spelling of 11294131978752 in words is "eleven trillion, two hundred ninety-four billion, one hundred thirty-one million, nine hundred seventy-eight thousand, seven hundred fifty-two".