13865823216 has 120 divisors (see below), whose sum is σ = 46298085840. Its totient is φ = 3961657728.

The previous prime is 13865823199. The next prime is 13865823241. The reversal of 13865823216 is 61232856831.

13865823216 is a `hidden beast` number, since 1 + 38 + 6 + 582 + 32 + 1 + 6 = 666.

It is a super-3 number, since 3×13865823216³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306351 + ... + 348686.

It is an arithmetic number, because the mean of its divisors is an integer number (385817382).

Almost surely, 2^13865823216 is an apocalyptic number.

13865823216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13865823216 is an abundant number, since it is smaller than the sum of its proper divisors (32432262624).

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

13865823216 is a wasteful number, since it uses less digits than its factorization.

13865823216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655068 (or 655049 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 13865823216 in words is "thirteen billion, eight hundred sixty-five million, eight hundred twenty-three thousand, two hundred sixteen".