11346579823104 has 960 divisors, whose sum is σ = 35929997832960. Its totient is φ = 3576313036800.

The previous prime is 11346579823081. The next prime is 11346579823147. The reversal of 11346579823104 is 40132897564311.

11346579823104 is a `hidden beast` number, since 1 + 1 + 3 + 46 + 579 + 8 + 23 + 1 + 0 + 4 = 666.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 159810983389 + ... + 159810983459.

It is an arithmetic number, because the mean of its divisors is an integer number (37427081076).

It is a 1-persistent number, because it is pandigital, but 2⋅11346579823104 = 22693159646208 is not.

Almost surely, 2^{11346579823104} 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 11346579823104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17964998916480).

11346579823104 is an abundant number, since it is smaller than the sum of its proper divisors (24583418009856).

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

11346579823104 is an frugal number, since it uses more digits than its factorization.

11346579823104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 11346579823104 in words is "eleven trillion, three hundred forty-six billion, five hundred seventy-nine million, eight hundred twenty-three thousand, one hundred four".