11934304218720 has 1344 divisors, whose sum is σ = 47487458027520. Its totient is φ = 2812725264384.

The previous prime is 11934304218701. The next prime is 11934304218731. The reversal of 11934304218720 is 2781240343911.

11934304218720 is a `hidden beast` number, since 1 + 1 + 93 + 43 + 0 + 421 + 87 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 5584605492 + ... + 5584607628.

It is an arithmetic number, because the mean of its divisors is an integer number (35332930080).

Almost surely, 2^{11934304218720} is an apocalyptic number.

11934304218720 is a gapful number since it is divisible by the number (10) 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 11934304218720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23743729013760).

11934304218720 is an abundant number, since it is smaller than the sum of its proper divisors (35553153808800).

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

11934304218720 is a wasteful number, since it uses less digits than its factorization.

11934304218720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 11934304218720 in words is "eleven trillion, nine hundred thirty-four billion, three hundred four million, two hundred eighteen thousand, seven hundred twenty".