11742266265184 has 192 divisors, whose sum is σ = 28893210458112. Its totient is φ = 4573507276800.

The previous prime is 11742266265179. The next prime is 11742266265203. The reversal of 11742266265184 is 48156266224711.

It is a happy number.

11742266265184 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150269644 + ... + 150347764.

It is an arithmetic number, because the mean of its divisors is an integer number (150485471136).

Almost surely, 2^{11742266265184} is an apocalyptic number.

11742266265184 is a gapful number since it is divisible by the number (14) 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 11742266265184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14446605229056).

11742266265184 is an abundant number, since it is smaller than the sum of its proper divisors (17150944192928).

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

11742266265184 is a wasteful number, since it uses less digits than its factorization.

11742266265184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78949 (or 78941 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 55.

It can be divided in two parts, 11742266 and 265184, that added together give a triangular number (12007450 = T₄₉₀₀).

The spelling of 11742266265184 in words is "eleven trillion, seven hundred forty-two billion, two hundred sixty-six million, two hundred sixty-five thousand, one hundred eighty-four".