11873464468320 has 768 divisors, whose sum is σ = 47472786063360. Its totient is φ = 2427986534400.

The previous prime is 11873464468291. The next prime is 11873464468321. The reversal of 11873464468320 is 2386446437811.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11873464468321) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 182943075 + ... + 183007965.

It is an arithmetic number, because the mean of its divisors is an integer number (61813523520).

Almost surely, 2^{11873464468320} is an apocalyptic number.

11873464468320 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 11873464468320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23736393031680).

11873464468320 is an abundant number, since it is smaller than the sum of its proper divisors (35599321595040).

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

11873464468320 is a wasteful number, since it uses less digits than its factorization.

11873464468320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65059 (or 65051 counting only the distinct ones).

The product of its (nonzero) digits is 18579456, while the sum is 57.

The spelling of 11873464468320 in words is "eleven trillion, eight hundred seventy-three billion, four hundred sixty-four million, four hundred sixty-eight thousand, three hundred twenty".