1656889344 has 280 divisors, whose sum is σ = 5423690448. Its totient is φ = 499875840.

The previous prime is 1656889337. The next prime is 1656889363. The reversal of 1656889344 is 4439886561.

1656889344 is a `hidden beast` number, since 165 + 68 + 89 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4976640) is a multiple of the sum of its prime divisors (243).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7298959 + ... + 7299185.

Almost surely, 2^1656889344 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 1656889344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2711845224).

1656889344 is an abundant number, since it is smaller than the sum of its proper divisors (3766801104).

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

1656889344 is an equidigital number, since it uses as much as digits as its factorization.

1656889344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 243 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 1656889344 is about 40704.9056503022. The cubic root of 1656889344 is about 1183.3080934289.

The spelling of 1656889344 in words is "one billion, six hundred fifty-six million, eight hundred eighty-nine thousand, three hundred forty-four".