1141781968 has 60 divisors (see below), whose sum is σ = 2335802508. Its totient is φ = 540467200.

The previous prime is 1141781959. The next prime is 1141781989. The reversal of 1141781968 is 8691871411.

It can be written as a sum of positive squares in 6 ways, for example, as 268697664 + 873084304 = 16392^2 + 29548^2 .

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 712368 + ... + 713968.

Almost surely, 2^1141781968 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 1141781968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167901254).

1141781968 is an abundant number, since it is smaller than the sum of its proper divisors (1194020540).

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

1141781968 is a wasteful number, since it uses less digits than its factorization.

1141781968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1720 (or 1685 counting only the distinct ones).

The product of its digits is 96768, while the sum is 46.

The square root of 1141781968 is about 33790.2643967164. The cubic root of 1141781968 is about 1045.1879481547.

The spelling of 1141781968 in words is "one billion, one hundred forty-one million, seven hundred eighty-one thousand, nine hundred sixty-eight".