11456334345324 has 96 divisors (see below), whose sum is σ = 29453551464960. Its totient is φ = 3436865344000.

The previous prime is 11456334345301. The next prime is 11456334345331. The reversal of 11456334345324 is 42354343365411.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135530857 + ... + 135615359.

It is an arithmetic number, because the mean of its divisors is an integer number (306807827760).

Almost surely, 2^{11456334345324} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11456334345324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14726775732480).

11456334345324 is an abundant number, since it is smaller than the sum of its proper divisors (17997217119636).

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

11456334345324 is a wasteful number, since it uses less digits than its factorization.

11456334345324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94791 (or 94789 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 48.

The spelling of 11456334345324 in words is "eleven trillion, four hundred fifty-six billion, three hundred thirty-four million, three hundred forty-five thousand, three hundred twenty-four".