12833560578048 has 1152 divisors, whose sum is σ = 42060411993600. Its totient is φ = 3466480582656.

The previous prime is 12833560577911. The next prime is 12833560578107. The reversal of 12833560578048 is 84087506533821.

It is a super-2 number, since 2×12833560578048² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12833560577982 and 12833560578000.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 81742423986 + ... + 81742424142.

It is an arithmetic number, because the mean of its divisors is an integer number (36510774300).

Almost surely, 2^{12833560578048} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12833560578048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21030205996800).

12833560578048 is an abundant number, since it is smaller than the sum of its proper divisors (29226851415552).

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

12833560578048 is a wasteful number, since it uses less digits than its factorization.

12833560578048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 60.

The spelling of 12833560578048 in words is "twelve trillion, eight hundred thirty-three billion, five hundred sixty million, five hundred seventy-eight thousand, forty-eight".