13980403948896 has 1440 divisors, whose sum is σ = 55609844032512. Its totient is φ = 3399123087360.

The previous prime is 13980403948891. The next prime is 13980403948921. The reversal of 13980403948896 is 69884930408931.

13980403948896 is a `hidden beast` number, since 1 + 3 + 98 + 0 + 403 + 9 + 48 + 8 + 96 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13980403948891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1510247500 + ... + 1510256756.

Almost surely, 2^{13980403948896} is an apocalyptic number.

13980403948896 is a gapful number since it is divisible by the number (16) 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 13980403948896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27804922016256).

13980403948896 is an abundant number, since it is smaller than the sum of its proper divisors (41629440083616).

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

13980403948896 is a wasteful number, since it uses less digits than its factorization.

13980403948896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9374 (or 9350 counting only the distinct ones).

The product of its (nonzero) digits is 322486272, while the sum is 72.

The spelling of 13980403948896 in words is "thirteen trillion, nine hundred eighty billion, four hundred three million, nine hundred forty-eight thousand, eight hundred ninety-six".