1681489152 has 288 divisors, whose sum is σ = 5933813760. Its totient is φ = 459233280.

The previous prime is 1681489123. The next prime is 1681489153. The reversal of 1681489152 is 2519841861.

It is a happy number.

1681489152 is a `hidden beast` number, since 16 + 8 + 1 + 489 + 152 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1681489098 and 1681489107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1681489153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1112077 + ... + 1113587.

It is an arithmetic number, because the mean of its divisors is an integer number (20603520).

Almost surely, 2^1681489152 is an apocalyptic number.

1681489152 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 1681489152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2966906880).

1681489152 is an abundant number, since it is smaller than the sum of its proper divisors (4252324608).

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

1681489152 is a wasteful number, since it uses less digits than its factorization.

1681489152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1566 (or 1546 counting only the distinct ones).

The product of its digits is 138240, while the sum is 45.

The square root of 1681489152 is about 41005.9648343994. The cubic root of 1681489152 is about 1189.1355329834.

The spelling of 1681489152 in words is "one billion, six hundred eighty-one million, four hundred eighty-nine thousand, one hundred fifty-two".