1656646656 has 176 divisors, whose sum is σ = 5172195840. Its totient is φ = 461537280.

The previous prime is 1656646643. The next prime is 1656646657. The reversal of 1656646656 is 6566466561.

It is a junction number, because it is equal to n+sod(n) for n = 1656646599 and 1656646608.

It is not an unprimeable number, because it can be changed into a prime (1656646657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 880725 + ... + 882603.

Almost surely, 2^1656646656 is an apocalyptic number.

1656646656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1656646656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586097920).

1656646656 is an abundant number, since it is smaller than the sum of its proper divisors (3515549184).

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

1656646656 is a wasteful number, since it uses less digits than its factorization.

1656646656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1932 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 51.

The square root of 1656646656 is about 40701.9244753857. The cubic root of 1656646656 is about 1183.2503167488.

The spelling of 1656646656 in words is "one billion, six hundred fifty-six million, six hundred forty-six thousand, six hundred fifty-six".