11456981242308 has 672 divisors, whose sum is σ = 36007673361408. Its totient is φ = 3120054681600.

The previous prime is 11456981242303. The next prime is 11456981242319. The reversal of 11456981242308 is 80324218965411.

11456981242308 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 6 + 98 + 1 + 242 + 308 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11456981242303) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 19856119716 + ... + 19856120292.

It is an arithmetic number, because the mean of its divisors is an integer number (53582847264).

Almost surely, 2^{11456981242308} is an apocalyptic number.

11456981242308 is a gapful number since it is divisible by the number (18) 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 11456981242308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18003836680704).

11456981242308 is an abundant number, since it is smaller than the sum of its proper divisors (24550692119100).

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

11456981242308 is a wasteful number, since it uses less digits than its factorization.

11456981242308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1135 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 11456981242308 in words is "eleven trillion, four hundred fifty-six billion, nine hundred eighty-one million, two hundred forty-two thousand, three hundred eight".