14106846733056 has 576 divisors, whose sum is σ = 52636883927040. Its totient is φ = 3619958722560.

The previous prime is 14106846732991. The next prime is 14106846733081. The reversal of 14106846733056 is 65033764860141.

14106846733056 is a `hidden beast` number, since 1 + 41 + 0 + 68 + 467 + 3 + 30 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 14106846732993 and 14106846733011.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 44014921 + ... + 44334263.

It is an arithmetic number, because the mean of its divisors is an integer number (91383479040).

Almost surely, 2^{14106846733056} is an apocalyptic number.

14106846733056 is a gapful number since it is divisible by the number (16) 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 14106846733056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26318441963520).

14106846733056 is an abundant number, since it is smaller than the sum of its proper divisors (38530037193984).

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

14106846733056 is a wasteful number, since it uses less digits than its factorization.

14106846733056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319469 (or 319449 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 14106846733056 in words is "fourteen trillion, one hundred six billion, eight hundred forty-six million, seven hundred thirty-three thousand, fifty-six".