13945978880 has 60 divisors (see below), whose sum is σ = 33469524480. Its totient is φ = 5578358784.

The previous prime is 13945978873. The next prime is 13945978889. The reversal of 13945978880 is 8887954931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13945978889) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3200 + ... + 167039.

It is an arithmetic number, because the mean of its divisors is an integer number (557825408).

Almost surely, 2^13945978880 is an apocalyptic number.

13945978880 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 13945978880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16734762240).

13945978880 is an abundant number, since it is smaller than the sum of its proper divisors (19523545600).

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

13945978880 is an frugal number, since it uses more digits than its factorization.

13945978880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170272 (or 170246 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 62.

The spelling of 13945978880 in words is "thirteen billion, nine hundred forty-five million, nine hundred seventy-eight thousand, eight hundred eighty".