811249611144 has 64 divisors (see below), whose sum is σ = 2317958797440. Its totient is φ = 231775326720.

The previous prime is 811249611127. The next prime is 811249611149. The reversal of 811249611144 is 441116942118.

811249611144 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 (42).

It is a junction number, because it is equal to n+sod(n) for n = 811249611096 and 811249611105.

It is not an unprimeable number, because it can be changed into a prime (811249611149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4210092 + ... + 4398564.

It is an arithmetic number, because the mean of its divisors is an integer number (36218106210).

Almost surely, 2^811249611144 is an apocalyptic number.

811249611144 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

811249611144 is an abundant number, since it is smaller than the sum of its proper divisors (1506709186296).

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

811249611144 is a wasteful number, since it uses less digits than its factorization.

811249611144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214110 (or 214106 counting only the distinct ones).

The product of its digits is 55296, while the sum is 42.

The spelling of 811249611144 in words is "eight hundred eleven billion, two hundred forty-nine million, six hundred eleven thousand, one hundred forty-four".