1656630144 has 384 divisors, whose sum is σ = 5660534880. Its totient is φ = 477757440.

The previous prime is 1656630109. The next prime is 1656630163. The reversal of 1656630144 is 4410366561.

It is a happy number.

1656630144 is a `hidden beast` number, since 1 + 6 + 5 + 6 + 630 + 14 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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 = 1656630099 and 1656630108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6873864 + ... + 6874104.

Almost surely, 2^1656630144 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 1656630144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830267440).

1656630144 is an abundant number, since it is smaller than the sum of its proper divisors (4003904736).

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

1656630144 is a wasteful number, since it uses less digits than its factorization.

1656630144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1656630144 is about 40701.7216343486. The cubic root of 1656630144 is about 1183.2463855355.

The spelling of 1656630144 in words is "one billion, six hundred fifty-six million, six hundred thirty thousand, one hundred forty-four".