13881650047056 has 320 divisors, whose sum is σ = 44570614798080. Its totient is φ = 4100032512000.

The previous prime is 13881650047039. The next prime is 13881650047061. The reversal of 13881650047056 is 65074005618831.

It is a happy number.

13881650047056 is a `hidden beast` number, since 1 + 3 + 8 + 8 + 16 + 500 + 4 + 70 + 56 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 = 13881650046993 and 13881650047011.

It is a congruent number.

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, 206683176 + ... + 206750328.

It is an arithmetic number, because the mean of its divisors is an integer number (139283171244).

Almost surely, 2^{13881650047056} is an apocalyptic number.

13881650047056 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 13881650047056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22285307399040).

13881650047056 is an abundant number, since it is smaller than the sum of its proper divisors (30688964751024).

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

13881650047056 is a wasteful number, since it uses less digits than its factorization.

13881650047056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68283 (or 68271 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 13881650047056 in words is "thirteen trillion, eight hundred eighty-one billion, six hundred fifty million, forty-seven thousand, fifty-six".