56668409448 has 288 divisors, whose sum is σ = 174584652480. Its totient is φ = 15274022400.

The previous prime is 56668409429. The next prime is 56668409449. The reversal of 56668409448 is 84490486665.

56668409448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×56668409448² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 56668409391 and 56668409400.

It is not an unprimeable number, because it can be changed into a prime (56668409449) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46334965 + ... + 46336187.

It is an arithmetic number, because the mean of its divisors is an integer number (606196710).

Almost surely, 2^56668409448 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 56668409448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87292326240).

56668409448 is an abundant number, since it is smaller than the sum of its proper divisors (117916243032).

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

56668409448 is a wasteful number, since it uses less digits than its factorization.

56668409448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1349 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 60.

The spelling of 56668409448 in words is "fifty-six billion, six hundred sixty-eight million, four hundred nine thousand, four hundred forty-eight".