14847273133056 has 1408 divisors, whose sum is σ = 55925743104000. Its totient is φ = 3865920307200.

The previous prime is 14847273133013. The next prime is 14847273133073. The reversal of 14847273133056 is 65033137274841.

14847273133056 is a `hidden beast` number, since 1 + 48 + 472 + 73 + 13 + 3 + 0 + 56 = 666.

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 = 14847273132993 and 14847273133011.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10232441131 + ... + 10232442581.

It is an arithmetic number, because the mean of its divisors is an integer number (39719988000).

Almost surely, 2^{14847273133056} is an apocalyptic number.

14847273133056 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 14847273133056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27962871552000).

14847273133056 is an abundant number, since it is smaller than the sum of its proper divisors (41078469970944).

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

14847273133056 is a wasteful number, since it uses less digits than its factorization.

14847273133056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 14847273133056 in words is "fourteen trillion, eight hundred forty-seven billion, two hundred seventy-three million, one hundred thirty-three thousand, fifty-six".