13759819018848 has 1536 divisors, whose sum is σ = 50889129984000. Its totient is φ = 3529858590720.

The previous prime is 13759819018741. The next prime is 13759819018849. The reversal of 13759819018848 is 84881091895731.

13759819018848 is a `hidden beast` number, since 1 + 3 + 7 + 598 + 19 + 0 + 18 + 8 + 4 + 8 = 666.

13759819018848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13759819018848² (a number of 27 digits) contains 22 as substring.

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 (13759819018849) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 41570450043 + ... + 41570450373.

It is an arithmetic number, because the mean of its divisors is an integer number (33130944000).

Almost surely, 2^{13759819018848} is an apocalyptic number.

13759819018848 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 13759819018848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25444564992000).

13759819018848 is an abundant number, since it is smaller than the sum of its proper divisors (37129310965152).

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

13759819018848 is a wasteful number, since it uses less digits than its factorization.

13759819018848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 72.

The spelling of 13759819018848 in words is "thirteen trillion, seven hundred fifty-nine billion, eight hundred nineteen million, eighteen thousand, eight hundred forty-eight".