13982546160 has 320 divisors, whose sum is σ = 53032320000. Its totient is φ = 3357987840.

The previous prime is 13982546143. The next prime is 13982546183. The reversal of 13982546160 is 6164528931.

13982546160 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 25 + 4 + 616 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2587141 + ... + 2592539.

It is an arithmetic number, because the mean of its divisors is an integer number (165726000).

Almost surely, 2^13982546160 is an apocalyptic number.

13982546160 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 13982546160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26516160000).

13982546160 is an abundant number, since it is smaller than the sum of its proper divisors (39049773840).

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

13982546160 is a wasteful number, since it uses less digits than its factorization.

13982546160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5541 (or 5529 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 13982546160 in words is "thirteen billion, nine hundred eighty-two million, five hundred forty-six thousand, one hundred sixty".