1141653800 has 96 divisors (see below), whose sum is σ = 3057899520. Its totient is φ = 388281600.

The previous prime is 1141653797. The next prime is 1141653823. The reversal of 1141653800 is 83561411.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 174590 + ... + 181010.

It is an arithmetic number, because the mean of its divisors is an integer number (31853120).

Almost surely, 2^1141653800 is an apocalyptic number.

1141653800 is a gapful number since it is divisible by the number (10) 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 1141653800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528949760).

1141653800 is an abundant number, since it is smaller than the sum of its proper divisors (1916245720).

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

1141653800 is a wasteful number, since it uses less digits than its factorization.

1141653800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6571 (or 6562 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 1141653800 is about 33788.3678208936. The cubic root of 1141653800 is about 1045.1488383348.

The spelling of 1141653800 in words is "one billion, one hundred forty-one million, six hundred fifty-three thousand, eight hundred".