1141829568 has 336 divisors, whose sum is σ = 3805204480. Its totient is φ = 335301120.

The previous prime is 1141829551. The next prime is 1141829569. The reversal of 1141829568 is 8659281411.

It is a happy number.

1141829568 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 82 + 9 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141829569) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8990721 + ... + 8990847.

Almost surely, 2^1141829568 is an apocalyptic number.

1141829568 is a gapful number since it is divisible by the number (18) 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 1141829568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902602240).

1141829568 is an abundant number, since it is smaller than the sum of its proper divisors (2663374912).

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

1141829568 is a wasteful number, since it uses less digits than its factorization.

1141829568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 186 counting only the distinct ones).

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

The square root of 1141829568 is about 33790.9687342639. The cubic root of 1141829568 is about 1045.2024723098.

The spelling of 1141829568 in words is "one billion, one hundred forty-one million, eight hundred twenty-nine thousand, five hundred sixty-eight".