13868144640 has 864 divisors, whose sum is σ = 58114733040. Its totient is φ = 3047030784.

The previous prime is 13868144623. The next prime is 13868144683. The reversal of 13868144640 is 4644186831.

13868144640 is a `hidden beast` number, since 13 + 86 + 81 + 446 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 167086039 + ... + 167086121.

Almost surely, 2^13868144640 is an apocalyptic number.

13868144640 is a gapful number since it is divisible by the number (10) 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 13868144640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29057366520).

13868144640 is an abundant number, since it is smaller than the sum of its proper divisors (44246588400).

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

13868144640 is a wasteful number, since it uses less digits than its factorization.

13868144640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 13868144640 in words is "thirteen billion, eight hundred sixty-eight million, one hundred forty-four thousand, six hundred forty".