13817650483728 has 240 divisors, whose sum is σ = 49663440503040. Its totient is φ = 3485771283456.

The previous prime is 13817650483717. The next prime is 13817650483753. The reversal of 13817650483728 is 82738405671831.

It is a happy number.

13817650483728 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 76 + 504 + 8 + 37 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22621663 + ... + 23224446.

It is an arithmetic number, because the mean of its divisors is an integer number (206931002096).

Almost surely, 2^{13817650483728} is an apocalyptic number.

13817650483728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13817650483728 is an abundant number, since it is smaller than the sum of its proper divisors (35845790019312).

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

13817650483728 is a wasteful number, since it uses less digits than its factorization.

13817650483728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45846166 (or 45846157 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 13817650483728 in words is "thirteen trillion, eight hundred seventeen billion, six hundred fifty million, four hundred eighty-three thousand, seven hundred twenty-eight".