4161819771648 has 864 divisors, whose sum is σ = 16427516152320. Its totient is φ = 1017384468480.

The previous prime is 4161819771643. The next prime is 4161819771667. The reversal of 4161819771648 is 8461779181614.

4161819771648 is a `hidden beast` number, since 4 + 1 + 618 + 1 + 9 + 7 + 7 + 1 + 6 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is not an unprimeable number, because it can be changed into a prime (4161819771643) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 81404718 + ... + 81455826.

It is an arithmetic number, because the mean of its divisors is an integer number (19013328880).

Almost surely, 2^{4161819771648} is an apocalyptic number.

4161819771648 is a gapful number since it is divisible by the number (48) 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 4161819771648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8213758076160).

4161819771648 is an abundant number, since it is smaller than the sum of its proper divisors (12265696380672).

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

4161819771648 is a wasteful number, since it uses less digits than its factorization.

4161819771648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51175 (or 51149 counting only the distinct ones).

The product of its digits is 16257024, while the sum is 63.

The spelling of 4161819771648 in words is "four trillion, one hundred sixty-one billion, eight hundred nineteen million, seven hundred seventy-one thousand, six hundred forty-eight".