13988565276048 has 960 divisors, whose sum is σ = 48989076998400. Its totient is φ = 3801356697600.

The previous prime is 13988565276041. The next prime is 13988565276073. The reversal of 13988565276048 is 84067256588931.

13988565276048 is a `hidden beast` number, since 1 + 3 + 9 + 8 + 8 + 5 + 6 + 5 + 2 + 7 + 604 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13988565276041) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1566639648 + ... + 1566648576.

It is an arithmetic number, because the mean of its divisors is an integer number (51030288540).

It is a 1-persistent number, because it is pandigital, but 2⋅13988565276048 = 27977130552096 is not.

Almost surely, 2^{13988565276048} is an apocalyptic number.

13988565276048 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 13988565276048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24494538499200).

13988565276048 is an abundant number, since it is smaller than the sum of its proper divisors (35000511722352).

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

13988565276048 is a wasteful number, since it uses less digits than its factorization.

13988565276048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9069 (or 9046 counting only the distinct ones).

The product of its (nonzero) digits is 696729600, while the sum is 72.

The spelling of 13988565276048 in words is "thirteen trillion, nine hundred eighty-eight billion, five hundred sixty-five million, two hundred seventy-six thousand, forty-eight".