13768841769984 has 924 divisors, whose sum is σ = 49181236009668. Its totient is φ = 3837586636800.

The previous prime is 13768841769979. The next prime is 13768841770003. The reversal of 13768841769984 is 48996714886731.

13768841769984 is a `hidden beast` number, since 1 + 3 + 7 + 68 + 8 + 417 + 69 + 9 + 84 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4105000166400 + 9663841603584 = 2026080^2 + 3108672^2 .

It is a super-2 number, since 2×13768841769984² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1499705874 + ... + 1499715054.

Almost surely, 2^{13768841769984} is an apocalyptic number.

13768841769984 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 13768841769984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24590618004834).

13768841769984 is an abundant number, since it is smaller than the sum of its proper divisors (35412394239684).

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

13768841769984 is an frugal number, since it uses more digits than its factorization.

13768841769984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9274 (or 9234 counting only the distinct ones).

The product of its digits is 3511517184, while the sum is 81.

The spelling of 13768841769984 in words is "thirteen trillion, seven hundred sixty-eight billion, eight hundred forty-one million, seven hundred sixty-nine thousand, nine hundred eighty-four".