6811146144 has 504 divisors, whose sum is σ = 23445112320. Its totient is φ = 1939956480.

The previous prime is 6811146137. The next prime is 6811146157. The reversal of 6811146144 is 4416411186.

It is a happy number.

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 junction number, because it is equal to n+sod(n) for n = 6811146099 and 6811146108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 53631009 + ... + 53631135.

It is an arithmetic number, because the mean of its divisors is an integer number (46518080).

Almost surely, 2^6811146144 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 6811146144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11722556160).

6811146144 is an abundant number, since it is smaller than the sum of its proper divisors (16633966176).

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

6811146144 is a wasteful number, since it uses less digits than its factorization.

6811146144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 162 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 6811146144 is about 82529.6682654183. The cubic root of 6811146144 is about 1895.5710454049.

The spelling of 6811146144 in words is "six billion, eight hundred eleven million, one hundred forty-six thousand, one hundred forty-four".