1642116352 has 36 divisors (see below), whose sum is σ = 3294558036. Its totient is φ = 816865280.

The previous prime is 1642116319. The next prime is 1642116373. The reversal of 1642116352 is 2536112461.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1481942016 + 160174336 = 38496^2 + 12656^2 .

It is a super-2 number, since 2×1642116352² = 5393092227011575808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 34152 + ... + 66712.

It is an arithmetic number, because the mean of its divisors is an integer number (91515501).

Almost surely, 2^1642116352 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 1642116352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1647279018).

1642116352 is an abundant number, since it is smaller than the sum of its proper divisors (1652441684).

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

1642116352 is an equidigital number, since it uses as much as digits as its factorization.

1642116352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32774 (or 32760 counting only the distinct ones).

The product of its digits is 8640, while the sum is 31.

The square root of 1642116352 is about 40523.0348320557. The cubic root of 1642116352 is about 1179.7807578888.

The spelling of 1642116352 in words is "one billion, six hundred forty-two million, one hundred sixteen thousand, three hundred fifty-two".