13988866356304 has 200 divisors, whose sum is σ = 33469182612000. Its totient is φ = 5647907236608.

The previous prime is 13988866356301. The next prime is 13988866356313. The reversal of 13988866356304 is 40365366888931.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13988866356301) 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 39 ways as a sum of consecutive naturals, for example, 130599282 + ... + 130706350.

It is an arithmetic number, because the mean of its divisors is an integer number (167345913060).

Almost surely, 2^{13988866356304} is an apocalyptic number.

13988866356304 is a gapful number since it is divisible by the number (14) 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 13988866356304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16734591306000).

13988866356304 is an abundant number, since it is smaller than the sum of its proper divisors (19480316255696).

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

13988866356304 is a wasteful number, since it uses less digits than its factorization.

13988866356304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107303 (or 107276 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 70.

The spelling of 13988866356304 in words is "thirteen trillion, nine hundred eighty-eight billion, eight hundred sixty-six million, three hundred fifty-six thousand, three hundred four".