11793346854912 has 1288 divisors, whose sum is σ = 44009987764800. Its totient is φ = 3082108796928.

The previous prime is 11793346854889. The next prime is 11793346854973. The reversal of 11793346854912 is 21945864339711.

11793346854912 is a `hidden beast` number, since 1 + 1 + 7 + 9 + 33 + 46 + 8 + 549 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (39191040) is a multiple of the sum of its prime divisors (60).

It is a self number, because there is not a number n which added to its sum of digits gives 11793346854912.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 406667132914 + ... + 406667132942.

Almost surely, 2^{11793346854912} is an apocalyptic number.

11793346854912 is a gapful number since it is divisible by the number (12) 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 11793346854912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22004993882400).

11793346854912 is an abundant number, since it is smaller than the sum of its proper divisors (32216640909888).

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

11793346854912 is an frugal number, since it uses more digits than its factorization.

11793346854912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 60 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The spelling of 11793346854912 in words is "eleven trillion, seven hundred ninety-three billion, three hundred forty-six million, eight hundred fifty-four thousand, nine hundred twelve".