1141114968 has 192 divisors, whose sum is σ = 3694766400. Its totient is φ = 311270400.

The previous prime is 1141114957. The next prime is 1141114979. The reversal of 1141114968 is 8694111411.

It is an interprime number because it is at equal distance from previous prime (1141114957) and next prime (1141114979).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1475830 + ... + 1476602.

It is an arithmetic number, because the mean of its divisors is an integer number (19243575).

Almost surely, 2^1141114968 is an apocalyptic number.

1141114968 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 1141114968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847383200).

1141114968 is an abundant number, since it is smaller than the sum of its proper divisors (2553651432).

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

1141114968 is a wasteful number, since it uses less digits than its factorization.

1141114968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922 (or 915 counting only the distinct ones).

The product of its digits is 6912, while the sum is 36.

The square root of 1141114968 is about 33780.3932481551. The cubic root of 1141114968 is about 1044.9843844343.

The spelling of 1141114968 in words is "one billion, one hundred forty-one million, one hundred fourteen thousand, nine hundred sixty-eight".