13878918144 has 792 divisors, whose sum is σ = 52983565440. Its totient is φ = 3415965696.

The previous prime is 13878918143. The next prime is 13878918199. The reversal of 13878918144 is 44181987831.

13878918144 is a `hidden beast` number, since 1 + 387 + 89 + 181 + 4 + 4 = 666.

It is a super-3 number, since 3×13878918144³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13878918143) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 207147999 + ... + 207148065.

Almost surely, 2^13878918144 is an apocalyptic number.

13878918144 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 13878918144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26491782720).

13878918144 is an abundant number, since it is smaller than the sum of its proper divisors (39104647296).

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

13878918144 is a wasteful number, since it uses less digits than its factorization.

13878918144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 111 counting only the distinct ones).

The product of its digits is 1548288, while the sum is 54.

The spelling of 13878918144 in words is "thirteen billion, eight hundred seventy-eight million, nine hundred eighteen thousand, one hundred forty-four".