13846279680 has 960 divisors, whose sum is σ = 55843032960. Its totient is φ = 3148873728.

The previous prime is 13846279679. The next prime is 13846279687. The reversal of 13846279680 is 8697264831.

13846279680 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 627 + 9 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13846279687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 261250534 + ... + 261250586.

It is an arithmetic number, because the mean of its divisors is an integer number (58169826).

Almost surely, 2^13846279680 is an apocalyptic number.

13846279680 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 13846279680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27921516480).

13846279680 is an abundant number, since it is smaller than the sum of its proper divisors (41996753280).

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

13846279680 is a wasteful number, since it uses less digits than its factorization.

13846279680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 13846279680 in words is "thirteen billion, eight hundred forty-six million, two hundred seventy-nine thousand, six hundred eighty".