1656626112 has 252 divisors, whose sum is σ = 5193279936. Its totient is φ = 504299520.

The previous prime is 1656626107. The next prime is 1656626113. The reversal of 1656626112 is 2116266561.

1656626112 is a `hidden beast` number, since 16 + 5 + 6 + 626 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1656626113) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6445888 + ... + 6446144.

Almost surely, 2^1656626112 is an apocalyptic number.

1656626112 is a gapful number since it is divisible by the number (12) 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 1656626112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596639968).

1656626112 is an abundant number, since it is smaller than the sum of its proper divisors (3536653824).

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

1656626112 is a wasteful number, since it uses less digits than its factorization.

1656626112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 312 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 1656626112 is about 40701.6721032441. The cubic root of 1656626112 is about 1183.2454255841.

The spelling of 1656626112 in words is "one billion, six hundred fifty-six million, six hundred twenty-six thousand, one hundred twelve".