42966656656 has 135 divisors (see below), whose sum is σ = 106601694633. Its totient is φ = 16715381760.

The previous prime is 42966656651. The next prime is 42966656687. The reversal of 42966656656 is 65665666924.

It is a happy number.

The square root of 42966656656 is 207284.

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

It can be written as a sum of positive squares in only one way, i.e., 14061216400 + 28905440256 = 118580^2 + 170016^2 .

It is a super-2 number, since 2×42966656656² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42966656594 and 42966656603.

It is not an unprimeable number, because it can be changed into a prime (42966656651) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 63843136 + ... + 63843808.

Almost surely, 2^42966656656 is an apocalyptic number.

42966656656 is the 207284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42966656656

42966656656 is an abundant number, since it is smaller than the sum of its proper divisors (63635037977).

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

42966656656 is an equidigital number, since it uses as much as digits as its factorization.

42966656656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 693 counting only the distinct ones).

The product of its digits is 83980800, while the sum is 61.

The spelling of 42966656656 in words is "forty-two billion, nine hundred sixty-six million, six hundred fifty-six thousand, six hundred fifty-six".