11993324045346 has 192 divisors, whose sum is σ = 31341808742400. Its totient is φ = 3237909292800.

The previous prime is 11993324045249. The next prime is 11993324045401. The reversal of 11993324045346 is 64354042339911.

11993324045346 is a `hidden beast` number, since 1 + 19 + 9 + 3 + 3 + 240 + 45 + 346 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 11993324045292 and 11993324045301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2917371831 + ... + 2917375941.

It is an arithmetic number, because the mean of its divisors is an integer number (163238587200).

Almost surely, 2^{11993324045346} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11993324045346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15670904371200).

11993324045346 is an abundant number, since it is smaller than the sum of its proper divisors (19348484697054).

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

11993324045346 is a wasteful number, since it uses less digits than its factorization.

11993324045346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7005 (or 7002 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 54.

The spelling of 11993324045346 in words is "eleven trillion, nine hundred ninety-three billion, three hundred twenty-four million, forty-five thousand, three hundred forty-six".