13878242784 has 384 divisors, whose sum is σ = 48611404800. Its totient is φ = 3768145920.

The previous prime is 13878242783. The next prime is 13878242821. The reversal of 13878242784 is 48724287831.

13878242784 is a `hidden beast` number, since 138 + 7 + 8 + 2 + 427 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a self number, because there is not a number n which added to its sum of digits gives 13878242784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13878242783) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11750674 + ... + 11751854.

It is an arithmetic number, because the mean of its divisors is an integer number (126592200).

Almost surely, 2^13878242784 is an apocalyptic number.

13878242784 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 13878242784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24305702400).

13878242784 is an abundant number, since it is smaller than the sum of its proper divisors (34733162016).

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

13878242784 is a wasteful number, since it uses less digits than its factorization.

13878242784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1289 counting only the distinct ones).

The product of its digits is 4816896, while the sum is 54.

The spelling of 13878242784 in words is "thirteen billion, eight hundred seventy-eight million, two hundred forty-two thousand, seven hundred eighty-four".