13722748508160 has 288 divisors, whose sum is σ = 50358267479520. Its totient is φ = 3444140408832.

The previous prime is 13722748508089. The next prime is 13722748508237. The reversal of 13722748508160 is 6180584722731.

13722748508160 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 2 + 74 + 8 + 508 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 13722748508097 and 13722748508106.

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, 2812732 + ... + 5946171.

It is an arithmetic number, because the mean of its divisors is an integer number (174855095415).

Almost surely, 2^{13722748508160} is an apocalyptic number.

13722748508160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13722748508160 is an abundant number, since it is smaller than the sum of its proper divisors (36635518971360).

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

13722748508160 is a wasteful number, since it uses less digits than its factorization.

13722748508160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8758953 (or 8758930 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 13722748508160 in words is "thirteen trillion, seven hundred twenty-two billion, seven hundred forty-eight million, five hundred eight thousand, one hundred sixty".