13758978816 has 216 divisors, whose sum is σ = 44882021184. Its totient is φ = 4169180160.

The previous prime is 13758978799. The next prime is 13758978851. The reversal of 13758978816 is 61887985731.

13758978816 is a `hidden beast` number, since 1 + 37 + 589 + 7 + 8 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 674235 + ... + 694341.

Almost surely, 2^13758978816 is an apocalyptic number.

13758978816 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 13758978816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22441010592).

13758978816 is an abundant number, since it is smaller than the sum of its proper divisors (31123042368).

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

13758978816 is an equidigital number, since it uses as much as digits as its factorization.

13758978816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20149 (or 20123 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 63.

The spelling of 13758978816 in words is "thirteen billion, seven hundred fifty-eight million, nine hundred seventy-eight thousand, eight hundred sixteen".