13931642880 has 228 divisors, whose sum is σ = 48337164252. Its totient is φ = 3711959040.

The previous prime is 13931642867. The next prime is 13931642941. The reversal of 13931642880 is 8824613931.

13931642880 is a `hidden beast` number, since 1 + 393 + 164 + 28 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9364045824 + 4567597056 = 96768^2 + 67584^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11795890 + ... + 11797070.

Almost surely, 2^13931642880 is an apocalyptic number.

13931642880 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 13931642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24168582126).

13931642880 is an abundant number, since it is smaller than the sum of its proper divisors (34405521372).

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

13931642880 is an frugal number, since it uses more digits than its factorization.

13931642880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 13931642880 in words is "thirteen billion, nine hundred thirty-one million, six hundred forty-two thousand, eight hundred eighty".