1141648668 has 120 divisors (see below), whose sum is σ = 3326677200. Its totient is φ = 339282432.

The previous prime is 1141648639. The next prime is 1141648691. The reversal of 1141648668 is 8668461411.

It is a super-2 number, since 2×1141648668² = 2606723362292348448, 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 39 ways as a sum of consecutive naturals, for example, 99198 + ... + 110106.

It is an arithmetic number, because the mean of its divisors is an integer number (27722310).

Almost surely, 2^1141648668 is an apocalyptic number.

1141648668 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 1141648668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1663338600).

1141648668 is an abundant number, since it is smaller than the sum of its proper divisors (2185028532).

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

1141648668 is a wasteful number, since it uses less digits than its factorization.

1141648668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10961 (or 10950 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 1141648668 is about 33788.2918775128. The cubic root of 1141648668 is about 1045.1472722698.

It can be divided in two parts, 1141648 and 668, that added together give a triangular number (1142316 = T₁₅₁₁).

The spelling of 1141648668 in words is "one billion, one hundred forty-one million, six hundred forty-eight thousand, six hundred sixty-eight".