13864536840000 has 560 divisors, whose sum is σ = 57150451201536. Its totient is φ = 2880940800000.

The previous prime is 13864536839999. The next prime is 13864536840017. The reversal of 13864536840000 is 4863546831.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8489755 + ... + 9990245.

Almost surely, 2^{13864536840000} is an apocalyptic number.

13864536840000 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 13864536840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28575225600768).

13864536840000 is an abundant number, since it is smaller than the sum of its proper divisors (43285914361536).

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

13864536840000 is a wasteful number, since it uses less digits than its factorization.

13864536840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500544 (or 1500519 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 13864536840000 in words is "thirteen trillion, eight hundred sixty-four billion, five hundred thirty-six million, eight hundred forty thousand".