13919742053568 has 560 divisors, whose sum is σ = 45729760817664. Its totient is φ = 4159746938880.

The previous prime is 13919742053537. The next prime is 13919742053587. The reversal of 13919742053568 is 86535024791931.

13919742053568 is a `hidden beast` number, since 1 + 3 + 9 + 1 + 9 + 74 + 20 + 535 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 414915771 + ... + 414949317.

It is a 1-persistent number, because it is pandigital, but 2⋅13919742053568 = 27839484107136 is not.

Almost surely, 2^{13919742053568} is an apocalyptic number.

13919742053568 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 13919742053568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22864880408832).

13919742053568 is an abundant number, since it is smaller than the sum of its proper divisors (31810018764096).

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

13919742053568 is a wasteful number, since it uses less digits than its factorization.

13919742053568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33762 (or 33743 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 13919742053568 in words is "thirteen trillion, nine hundred nineteen billion, seven hundred forty-two million, fifty-three thousand, five hundred sixty-eight".