13847863664520 has 384 divisors, whose sum is σ = 48000716899200. Its totient is φ = 3450270523392.

The previous prime is 13847863664473. The next prime is 13847863664543. The reversal of 13847863664520 is 2546636874831.

It is a happy number.

13847863664520 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 78 + 6 + 36 + 6 + 4 + 520 = 666.

It is a super-2 number, since 2×13847863664520² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 465882379 + ... + 465912101.

It is an arithmetic number, because the mean of its divisors is an integer number (125001866925).

Almost surely, 2^{13847863664520} is an apocalyptic number.

13847863664520 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 13847863664520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24000358449600).

13847863664520 is an abundant number, since it is smaller than the sum of its proper divisors (34152853234680).

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

13847863664520 is a wasteful number, since it uses less digits than its factorization.

13847863664520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30309 (or 30302 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 13847863664520 in words is "thirteen trillion, eight hundred forty-seven billion, eight hundred sixty-three million, six hundred sixty-four thousand, five hundred twenty".