1631664144 has 60 divisors (see below), whose sum is σ = 4981524912. Its totient is φ = 494443200.

The previous prime is 1631664101. The next prime is 1631664157. The reversal of 1631664144 is 4414661361.

1631664144 is a `hidden beast` number, since 1 + 6 + 3 + 1 + 6 + 641 + 4 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1631664099 and 1631664108.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 513462 + ... + 516629.

Almost surely, 2^1631664144 is an apocalyptic number.

It is an amenable number.

1631664144 is an abundant number, since it is smaller than the sum of its proper divisors (3349860768).

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

1631664144 is a wasteful number, since it uses less digits than its factorization.

1631664144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030116 (or 1030107 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 1631664144 is about 40393.8627021482. The cubic root of 1631664144 is about 1177.2722937242.

The spelling of 1631664144 in words is "one billion, six hundred thirty-one million, six hundred sixty-four thousand, one hundred forty-four".