1643113152 has 84 divisors (see below), whose sum is σ = 4766569080. Its totient is φ = 541089792.

The previous prime is 1643113151. The next prime is 1643113193. The reversal of 1643113152 is 2513113461.

It is a happy number.

1643113152 is a `hidden beast` number, since 1 + 643 + 1 + 1 + 3 + 15 + 2 = 666.

It is a super-3 number, since 3×1643113152³ (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1643113151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30624 + ... + 64992.

It is an arithmetic number, because the mean of its divisors is an integer number (56744870).

Almost surely, 2^1643113152 is an apocalyptic number.

1643113152 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 1643113152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2383284540).

1643113152 is an abundant number, since it is smaller than the sum of its proper divisors (3123455928).

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

1643113152 is a wasteful number, since it uses less digits than its factorization.

1643113152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34470 (or 34457 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 1643113152 is about 40535.3321436990. The cubic root of 1643113152 is about 1180.0194270478.

The spelling of 1643113152 in words is "one billion, six hundred forty-three million, one hundred thirteen thousand, one hundred fifty-two".