11945446221280 has 768 divisors, whose sum is σ = 35617318797312. Its totient is φ = 3725549568000.

The previous prime is 11945446221239. The next prime is 11945446221287. The reversal of 11945446221280 is 8212264454911.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11945446221287) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1766813100 + ... + 1766819860.

It is an arithmetic number, because the mean of its divisors is an integer number (46376717184).

Almost surely, 2^{11945446221280} is an apocalyptic number.

11945446221280 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 11945446221280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17808659398656).

11945446221280 is an abundant number, since it is smaller than the sum of its proper divisors (23671872576032).

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

11945446221280 is a wasteful number, since it uses less digits than its factorization.

11945446221280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6931 (or 6923 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 49.

The spelling of 11945446221280 in words is "eleven trillion, nine hundred forty-five billion, four hundred forty-six million, two hundred twenty-one thousand, two hundred eighty".