11814069485920 has 192 divisors, whose sum is σ = 31489566925824. Its totient is φ = 4155833088000.

The previous prime is 11814069485899. The next prime is 11814069485929. The reversal of 11814069485920 is 2958496041811.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11814069485929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11515909 + ... + 12499771.

It is an arithmetic number, because the mean of its divisors is an integer number (164008161072).

Almost surely, 2^{11814069485920} is an apocalyptic number.

11814069485920 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 11814069485920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15744783462912).

11814069485920 is an abundant number, since it is smaller than the sum of its proper divisors (19675497439904).

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

11814069485920 is a wasteful number, since it uses less digits than its factorization.

11814069485920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984165 (or 984157 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 58.

The spelling of 11814069485920 in words is "eleven trillion, eight hundred fourteen billion, sixty-nine million, four hundred eighty-five thousand, nine hundred twenty".