1001141856 has 480 divisors, whose sum is σ = 3601227168. Its totient is φ = 268738560.

The previous prime is 1001141851. The next prime is 1001141887. The reversal of 1001141856 is 6581411001.

1001141856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001141851) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13714236 + ... + 13714308.

Almost surely, 2^1001141856 is an apocalyptic number.

1001141856 is a gapful number since it is divisible by the number (16) 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 1001141856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1800613584).

1001141856 is an abundant number, since it is smaller than the sum of its proper divisors (2600085312).

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

1001141856 is a wasteful number, since it uses less digits than its factorization.

1001141856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

The square root of 1001141856 is about 31640.8257793630. The cubic root of 1001141856 is about 1000.3804738879.

Adding to 1001141856 its reverse (6581411001), we get a palindrome (7582552857).

The spelling of 1001141856 in words is "one billion, one million, one hundred forty-one thousand, eight hundred fifty-six".