13981085649648 has 1280 divisors, whose sum is σ = 47120984064000. Its totient is φ = 3937239871488.

The previous prime is 13981085649631. The next prime is 13981085649667. The reversal of 13981085649648 is 84694658018931.

13981085649648 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 10 + 8 + 564 + 9 + 6 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 38944528093 + ... + 38944528451.

It is an arithmetic number, because the mean of its divisors is an integer number (36813268800).

Almost surely, 2^{13981085649648} is an apocalyptic number.

13981085649648 is a gapful number since it is divisible by the number (18) 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 13981085649648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23560492032000).

13981085649648 is an abundant number, since it is smaller than the sum of its proper divisors (33139898414352).

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

13981085649648 is a wasteful number, since it uses less digits than its factorization.

13981085649648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 611 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 72.

The spelling of 13981085649648 in words is "thirteen trillion, nine hundred eighty-one billion, eighty-five million, six hundred forty-nine thousand, six hundred forty-eight".