4053656656 has 160 divisors (see below), whose sum is σ = 9669024000. Its totient is φ = 1609445376.

The previous prime is 4053656599. The next prime is 4053656657. The reversal of 4053656656 is 6566563504.

4053656656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4053656657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10695475 + ... + 10695853.

It is an arithmetic number, because the mean of its divisors is an integer number (60431400).

Almost surely, 2^4053656656 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 4053656656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4834512000).

4053656656 is an abundant number, since it is smaller than the sum of its proper divisors (5615367344).

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

4053656656 is a wasteful number, since it uses less digits than its factorization.

4053656656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 46.

The square root of 4053656656 is about 63668.3332277515. Note that the first 3 decimals coincide. The cubic root of 4053656656 is about 1594.4674350033.

The spelling of 4053656656 in words is "four billion, fifty-three million, six hundred fifty-six thousand, six hundred fifty-six".