13473821926656 has 720 divisors, whose sum is σ = 49910877523584. Its totient is φ = 3520272089088.

The previous prime is 13473821926627. The next prime is 13473821926657. The reversal of 13473821926656 is 65662912837431.

13473821926656 is a `hidden beast` number, since 1 + 3 + 4 + 7 + 382 + 192 + 6 + 65 + 6 = 666.

It is a super-2 number, since 2×13473821926656² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13473821926593 and 13473821926602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13473821926657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 201873066 + ... + 201939798.

Almost surely, 2^{13473821926656} is an apocalyptic number.

13473821926656 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 13473821926656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24955438761792).

13473821926656 is an abundant number, since it is smaller than the sum of its proper divisors (36437055596928).

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

13473821926656 is a wasteful number, since it uses less digits than its factorization.

13473821926656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66888 (or 66865 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 63.

The spelling of 13473821926656 in words is "thirteen trillion, four hundred seventy-three billion, eight hundred twenty-one million, nine hundred twenty-six thousand, six hundred fifty-six".