1656810144 has 144 divisors (see below), whose sum is σ = 5202628704. Its totient is φ = 495936000.

The previous prime is 1656810091. The next prime is 1656810151. The reversal of 1656810144 is 4410186561.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1656810144² = 5490039706522601472, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1656810099 and 1656810108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259794 + ... + 266094.

It is an arithmetic number, because the mean of its divisors is an integer number (36129366).

Almost surely, 2^1656810144 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 1656810144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2601314352).

1656810144 is an abundant number, since it is smaller than the sum of its proper divisors (3545818560).

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

1656810144 is a wasteful number, since it uses less digits than its factorization.

1656810144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6411 (or 6400 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1656810144 is about 40703.9327829634. The cubic root of 1656810144 is about 1183.2892389221.

The spelling of 1656810144 in words is "one billion, six hundred fifty-six million, eight hundred ten thousand, one hundred forty-four".