1141893648 has 240 divisors, whose sum is σ = 3797872000. Its totient is φ = 320060160.

The previous prime is 1141893631. The next prime is 1141893653. The reversal of 1141893648 is 8463981411.

It is a super-2 number, since 2×1141893648² = 2607842206685495808, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3012723 + ... + 3013101.

Almost surely, 2^1141893648 is an apocalyptic number.

1141893648 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 1141893648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898936000).

1141893648 is an abundant number, since it is smaller than the sum of its proper divisors (2655978352).

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

1141893648 is a wasteful number, since it uses less digits than its factorization.

1141893648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 452 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 1141893648 is about 33791.9169033069. The cubic root of 1141893648 is about 1045.2220243584. Note that the first 3 decimals are identical.

The spelling of 1141893648 in words is "one billion, one hundred forty-one million, eight hundred ninety-three thousand, six hundred forty-eight".