13847233680 has 240 divisors, whose sum is σ = 54150819840. Its totient is φ = 3105303552.

The previous prime is 13847233607. The next prime is 13847233717. The reversal of 13847233680 is 8633274831.

It is a tau number, because it is divible by the number of its divisors (240).

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

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 47 ways as a sum of consecutive naturals, for example, 241201 + ... + 293039.

It is an arithmetic number, because the mean of its divisors is an integer number (225628416).

Almost surely, 2^13847233680 is an apocalyptic number.

13847233680 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 13847233680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27075409920).

13847233680 is an abundant number, since it is smaller than the sum of its proper divisors (40303586160).

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

13847233680 is a wasteful number, since it uses less digits than its factorization.

13847233680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51918 (or 51909 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 13847233680 in words is "thirteen billion, eight hundred forty-seven million, two hundred thirty-three thousand, six hundred eighty".