42835506573456 has 135 divisors (see below), whose sum is σ = 120230646919929. Its totient is φ = 14236850549376.

The previous prime is 42835506573403. The next prime is 42835506573473. The reversal of 42835506573456 is 65437560553824.

The square root of 42835506573456 is 6544884.

It is a perfect power (a square), and thus also a powerful number.

42835506573456 is a `hidden beast` number, since 4 + 2 + 8 + 3 + 5 + 5 + 0 + 6 + 573 + 4 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42210749120400 + 624757453056 = 6496980^2 + 790416^2 .

It is a junction number, because it is equal to n+sod(n) for n = 42835506573393 and 42835506573402.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 39190764846 + ... + 39190765938.

Almost surely, 2^{42835506573456} is an apocalyptic number.

42835506573456 is the 6544884-th square number.

It is an amenable number.

42835506573456 is an abundant number, since it is smaller than the sum of its proper divisors (77395140346473).

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

42835506573456 is an frugal number, since it uses more digits than its factorization.

42835506573456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3198 (or 1597 counting only the distinct ones).

The product of its (nonzero) digits is 362880000, while the sum is 63.

The spelling of 42835506573456 in words is "forty-two trillion, eight hundred thirty-five billion, five hundred six million, five hundred seventy-three thousand, four hundred fifty-six".